1. Existentially Closed Groups - HIGMAN, GRAHAM; SCOTT, ELIZABETH Existentially Closed Groups; HIGMAN, GRAHAM; SCOTT, ELIZABETH. Offered by King's Books http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Records For Higman, G. (Graham), Ed. (in MARION) Higman, G. (Graham), ed. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Higman, G. (Graham) (in MARION) Higman, G. (Graham) Heading Higman, G. (Graham) Used for Higman, Graham Source data found http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Oxford University Press Existentially Closed Groups Graham Higman Existentially Closed Groups. Graham Higman and Elizabeth Scott Add to Cart 0198535430, hardback, 176 pages Jul 1988, In Stock http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. On A Question Posed By Graham Higman On a Question Posed by Graham Higman Gerard M. Enright (Irish Mathematical Society Bulletin, Number 28, 1992) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Existentially Closed Groups By Graham Higman, Elizabeth Scott Existentially Closed Groups by Graham Higman, Elizabeth Scott, , 0198535430, Lowest Book Price Finder, new, used, out of print books http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Graham Higman, Compare Book Prices, New Used Books Graham Higman, find the lowest price on new, used, out of print books http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Existentially Closed Groups (London Mathematical Society Monographs) Previously viewed Products. Existentially Closed Groups (London Mathematical Society Monographs) (Graham Higman , Elizabeth Scott) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Finite Simple Groups Conference Proceedings (Martin Beynon Powell Previously viewed Products. Finite Simple Groups Conference Proceedings (Martin Beynon Powell , Graham Higman) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Representation Theory Centres - Aachen, Lehrstuhl D Für Mathematik Translate this page Henke Anne - Hethelyi Laszlo - higman graham - Hille Lutz - Hiß Gerhard -Hochster Mel - Hoffman Corneliu (Bowling Green) - Höfling Burkhard - Holloway http://www.maths.may.ie/staff/jmurray/mathematicians.html

Representation Theory Centres Aachen, Lehrstuhl D für Mathematik Aberdeen Bielefeld Bristol ... S. California Other Mathematicians' Homepages A - Adan-Bante Edith Al-Ghamdi Ahmed M. Adem Alejandro Alperin Jon ... Aschbacher Michael B - Baker Andrew Barker Laurence Baranov Alexander Bell Allen ... Butler Michael C - Cabanes Marc Cameron Peter Carlson Jon F. Carter Roger ... Crawley-Boevey William D - Dade Everett C. De Visscher Maud Dipper Richard Donkin Steve ... Du Jie E - Eaton Charles Ellers Harald Eckmann Beno Eisenbud David ... Evens Leonard F - Fairley Jason Fan C. Kenneth Farnsteiner Rolf Fayers Matt - Walter Feit (Yale) - Ferguson Pamela Fleischmann Peter Fomin Sergey Fong Paul ... Ford Ben - Fottner Hubert - Francis Andrew Friedlander Eric Frobenius Ferdinand Georg G - Geck Meinolf Glauberman George - Glasby S. (Central Washington) - Gluck David (Wayne State) - Goodman Fred Gordon Iain Gow Rod Grabmeier Johannes ... Grunenfelder Luzius H - Haines Thomas J. Hanaki Akihide Happel Dieter Harris Morton ... Hochster Mel - Hoffman Corneliu (Bowling Green) - Höfling Burkhard Holloway Miles Holm Thorsten Holt Derek ... Husen Bill I - Iancu Lacri Isaacs I. Martin

11. Higman Biography of graham higman (19170BC) graham higman is the second son of theReverend Joseph higman. He was educated at Sutton Secondary School in http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Higman.html

Graham Higman Born: 19 Jan 1917 Click the picture above to see two larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Graham Higman is the second son of the Reverend Joseph Higman. He was educated at Sutton Secondary School in Plymouth and won a natural sciences scholarship to study at Balliol College Oxford. He chose Balliol College because that was the College where his elder brother had studied but, since his elder brother had read chemistry, Graham decided he had to be different in some respect and so, despite holding a natural sciences scolarship, he chose to read mathematics. Higman's tutor was Henry Whitehead and it took a while before he realised that Higman was a natural pure mathematician since most students on a natural sciences scholarship would only take mathematics courses to support their science studies. Following a suggestion by Whitehead , Higman founded the Invariant Society (an Oxford undergraduate mathematical society). The first speaker was G H Hardy who addressed the Invariant Society on round numbers. After taking special topic courses on

12. Higman Portraits Portraits of graham higman. The URL of this page is, © Copyright information.http//wwwhistory.mcs.st-andrews.ac.uk/history/PictDisplay/higman.html. http://www-groups.dcs.st-and.ac.uk/~history/PictDisplay/Higman.html

Graham Higman JOC/EFR August 2005 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Higman.html

13. AIM Reprint Library: Listing for higman, graham. Viewing Page 1. 1. A Theorem on Linkages higman,graham 4. Ordering by Divisibility in Abstract Algebras higman, graham http://www.aimath.org/library/library.cgi?database=reprints;mode=display;BrowseT

14. My PhD Project A biography of graham higman at St Andrews. higman, graham, Enumeratingpgroups II Problems whose solution is PORC, Proc. London Math. Soc. http://wwwmaths.anu.edu.au/~witty/phd.html

My PhD Project The general idea is to turn G. Higman's approach to his PORC conjecture for p-groups of Frattini class 2 into an algorithm. My supervisor is the ever-helpful Mike Newman So far my project has touched on several areas: finite fields, combinatorial representation theory, homological algebra, classical invariant theory and some number theory. Of course there has been heaps of group theory and computational algebra. I enjoy seeing the different areas interact in interesting ways. There also seems to be a common thread through a line of eminent mathematicians, some of them my mathematical ancestors! Frequently Asked Question What is PORC? It stands for Polynomial On Residue Classes . In this case, the number of p-groups of Frattini class 2 is a function such that every prime falls into one residue class mod N, and the function on a fixed residue class is polynomial in p. It has nothing to do with anything porcine. However, if you find anything worthwhile pursuing in computational/combinatorial/algebraic aspects of ham steaks, let me know. Assorted writings of mine Slides from my talk at AustMS `04: A Computational Approach to Higman's PORC Conjecture [pdf] Links Random mathematical misadventures of mine can be found here A biography of Graham Higman at St Andrews.

15. The Mathematics Genealogy Project - Graham Higman According to our current online database, graham higman has 51 students and 306descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=22466

16. The Mathematics Genealogy Project - Update Data For Graham Higman If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=22466

17. On A Question Posed By Graham Higman This function was introduced by Professor graham higman 1 during a lecture onexplicit embeddings of finitely presented groups. He posed the question and http://www.mic.ul.ie/maths/GMEnright/gfstring.htm

On a Question Posed by Graham Higman Gerard M. Enright (Irish Mathematical Society Bulletin, Number 28, 1992) Consider a function f of the non-negative integers given by the following rules: f(3n) f(3n+1) f(3n+2) is undefined for n = 0, 1, 2, 3, ... Since f(0) = and f(1) = 1, the function may be repeatedly and indefinitely applied to and 1, that is, for z = and 1, f (k) Question: (k) This function was introduced by Professor Graham Higman [1] during a lecture on explicit embeddings of finitely presented groups. He posed the question and he conjectured that the answer was "No". To be precise, he declared "No" to be his "first best guess". In this paper, we will not prove Higman's conjecture but we will produce a good deal of evidence in its favour. Neither will we discuss the group theoretic context in which the question was raised. Instead we present an exploration of the problem as an example of computer-aided mathematics suitable for secondary school and college level students. We use elementary programs in BASIC to obtain data on the function and we use this data in further development of the problem, leading to more efficient programming. Our suggestion is that students' knowledge and understanding of mathematics is reinforced by doing mathematics and that a computer is a very useful tool in this process. We demonstrate the power and scope of electronic computation. We also show its limitations when faced with a great volume of calculations and with very large numbers. (z), f

18. Balliol College: Official Information - Honorary Fellows Lord Healey, PC, CH, MBE, MA; HM King Harald V of Norway; higman, graham, MA,DPhil, FRS; Knowles, Jeremy Randall, CBE, MA, DPhil, FRS; Thomas, http://www.balliol.ox.ac.uk/official/staff/honorary/index.asp

Front Page News Applying to Balliol Official Information ... Senior Members Honorary Fellows Emeritus Fellows Foundation Fellows College Officers College Statutes ... SEARCH Balliol College U NIVERSITY of O XFORD Founded 1263 Honorary Fellows Blumberg, Baruch Samuel, MA, DPhil (MA, MD Columbia) Dover, Sir Kenneth James, KT, MA, DLitt., FBA, FRSE Geach, Professor Peter Thomas, MA, FBA Healey, Denis Winston, Rt Hon. Lord Healey, PC, CH, MBE, MA HM King Harald V of Norway Higman, Graham, MA, DPhil, FRS Knowles, Jeremy Randall, CBE, MA, DPhil, FRS Thomas, Sir Keith Vivian, MA, FBA Hinde, Robert Aubrey, MA, DPhil, FRS Leonard, The Rt Revd and Rt Hon. Graham Douglas, KCVO, PC, MA Streeten, Paul Patrick, MA, DLitt. Anderson, William Eric Kinloch, BLitt. (MA St And.), FRSE Bingham, Thomas Henry, Rt Hon. Lord Bingham of Cornhill, KG, MA Hutton, James Brian Edward, Rt Hon. Lord Hutton of Bresagh, PC, BA Leggett, Anthony James, MA, DPhil, FRS Nisbet, Robin George Murdoch, MA, FBA Ricks, Christopher Bruce, MA, BLitt, FBA Kenny, Sir Anthony John Patrick, MA, DPhil, DLitt, FBA Blandy, John Peter, CBE, MA, DM, MCh, FRCS, FACS

19. CIM Bulletin #10 The group theory lectures were given by graham higman, with Peter Neumann runningthe At the time I (unjustifiably) found graham higman rather daunting, http://at.yorku.ca/i/a/a/h/22.htm

Topology Atlas Document # iaah-22 from CIM Bulletin #10 An Interview with Gareth A. Jones Gareth A. Jones I acquired this piece of information from Nigel Hitchin back in 1986. Let me see if I get it right. You were colleagues in Oxford and during your first year you were taught by Michael Atiyah. What course was it and how was he as a teacher for students just starting university? Nigel Hitchin and I were students together at Jesus College, Oxford, from 1965 to 1971. Oxford, like Cambridge, consists of several dozen colleges, each containing a few hundred students. Weekly individual teaching is provided by college tutors, but lecture courses and examinations are organized by the University departments. In my time, the mathematics tutors at Jesus College, Edward Thompson for Pure Mathematics and Christopher Bradley for Applied Mathematics, had excellent reputations as teachers, so the standard of mathematics in the college was very high. There were eight mathematics students there in my year: among them, Nigel Hitchin went on to do great work in geometry with Atiyah and Donaldson, while Lyn Thomas, after getting a doctorate in quantum theory, became one of the leading figures in the Operations Research community. Before your Oxford days how was your life? I think you come from Wales. Did you realize at an early age that Mathematics was the science you wanted to devote your life to?

20. From Rusin@vesuvius.math.niu.edu (Dave Rusin) Subject Re Two Here are some relevant hits I found strolling through Math Reviews (relevantpassages noted in left margin) 11322d 20.0X higman, graham; Neumann, BH; http://www.math.niu.edu/~rusin/known-math/01_incoming/2_classes

From: rusin@vesuvius.math.niu.edu (Dave Rusin) Subject: Re: Two conjugacy classes Date: 11 Jul 2001 14:43:27 GMT Newsgroups: sci.math Summary: Infinite groups with only two conjugacy classes In article , Saar

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