Groups ’93 Galway/St Andrews: Volume 1 by C. M. Campbell, E. F. Robertson, T. C. Hurley, S. J. Tobin,

By C. M. Campbell, E. F. Robertson, T. C. Hurley, S. J. Tobin, J. Ward

This two-volume ebook comprises chosen papers from the foreign convention "Groups 1993 Galway/St Andrews", which used to be held at collage university Galway in August 1993. those volumes symbolize the wealth and variety of crew conception. 5 major lecture classes got on the convention. those have been "Geometry, Steinberg representations and complexity" by way of J. L. Alperin (Chicago), "Rickard equivalences and block idea" through M. Broué (ENS, Paris), "Cohomological finiteness stipulations" via P. H. Kropholler (QMW, London), "Counting finite index subgroups" by means of A. Lubotzky (Hebrew collage, Jerusalem), and "Lie equipment in staff thought" by way of E. I. Zel'manov (University of Wisconsin at Madison). Articles in accordance with their lectures, in a single case co-authored, shape a considerable a part of the lawsuits. one other major function of the convention used to be a spot workshop together run by means of J. NeubÜser and M. Schönert (RWTH, Aachen). articles through Professor NeubÜser, one co-authored, seem within the court cases. the opposite articles within the volumes include either refereed survey and examine articles contributed by way of different convention individuals. As with the complaints of the sooner "Groups-St Andrews" meetings, the articles in those lawsuits will, with their many references, end up necessary either to skilled researchers and to postgraduates drawn to team idea.

Show description

Read or Download Groups ’93 Galway/St Andrews: Volume 1 PDF

Similar group theory books

Representations of Groups: A Computational Approach

The illustration concept of finite teams has noticeable speedy progress lately with the advance of effective algorithms and computing device algebra structures. this is often the 1st booklet to supply an creation to the normal and modular illustration idea of finite teams with unique emphasis at the computational elements of the topic.

Groups of Prime Power Order Volume 2 (De Gruyter Expositions in Mathematics)

This can be the second one of 3 volumes dedicated to user-friendly finite p-group concept. just like the 1st quantity, 1000s of significant effects are analyzed and, in lots of instances, simplified. vital subject matters awarded during this monograph comprise: (a) type of p-groups all of whose cyclic subgroups of composite orders are general, (b) class of 2-groups with precisely 3 involutions, (c) proofs of Ward's theorem on quaternion-free teams, (d) 2-groups with small centralizers of an involution, (e) category of 2-groups with precisely 4 cyclic subgroups of order 2n > 2, (f) new proofs of Blackburn's theorem on minimum nonmetacyclic teams, (g) type of p-groups all of whose subgroups of index p² are abelian, (h) category of 2-groups all of whose minimum nonabelian subgroups have order eight, (i) p-groups with cyclic subgroups of index p² are categorized.

Group Representations, Ergodic Theory, and Mathematical Physics: A Tribute to George W. Mackey

George Mackey used to be a unprecedented mathematician of serious strength and imaginative and prescient. His profound contributions to illustration thought, harmonic research, ergodic thought, and mathematical physics left a wealthy legacy for researchers that maintains at the present time. This ebook relies on lectures awarded at an AMS specified consultation held in January 2007 in New Orleans devoted to his reminiscence.

Additional info for Groups ’93 Galway/St Andrews: Volume 1

Example text

MacDonald, Some p-groups of Frobenius and extra-special type, Israel [Mc2] [S] J. Math. 40(1981), 350-364. D. MacDonald, More on p-groups of Frobenius type, Israel J. Math. 56(1986), 335-394. G. Sorenson, Characters which vanish on all but three conjugacy classess, submitted. ON THE SATURATION OF FORMATIONS OF FINITE GROUPS A. M. EZQUERROt *Departament d'Algebra, Universitat de Valencia, C/ Dr. Moliner 50, 46100 Burjassot (Valencia), Spain tDepartamento de Matematica e Informatica, Universidad Publica de Navarra, Campus de Arrosadia, 31006 Pamplona, Spain 1.

Hence, b(,3) is a class of primitive groups of type 2. By Lemma 2, this implies that b(a) = 0. Then a = (E. Remark. Obviously in the soluble universe, such a simple group S with two different prime divisors does not exist. In this case, since F(p) = Sj for all primes p E chard \ 7r, we deduce that a = G r if chard = it and a = 67r 15 if it C char,'. So, Doerk's result is obtained. 3. The saturation of fj J. a With the notation of the preliminaries, denote X = 7) . There exists a trivial case of saturation of the class Sj 1 a.

Stl], Structure theorem for groups with infinitely many ends) Suppose that G is a finitely generated group with infinitely many ends. Then either G is a free product with amalgamation with a finite amalgamated subgroup or G is an HNN extension with one finite associated subgroup. Conversely, if G is either a free product with amalgamation with a finite amalgamated subgroup or G is an HNN extension with one finite associated subgroup then G has infinitely many ends except in the cases where G =G1 *K G2 with K finite, IG1 : KI = IG2 : KI = 2 or where G is an HNN extension with finite base K and associated subgroup K.

Download PDF sample

Rated 4.64 of 5 – based on 34 votes