Thisbookisintendedasanintroductiontoallthe? nitesimplegroups. During
themonumentalstruggletoclassifythe? nitesimplegroups (andindeedsince), a huge amount of …

Let G be a finite group and I'a GF (p) G-module (where GF (p) is the field of p elements). We
denote the first cohomology group of G on V by H'(G, V). The nontriviality of H'(G, V) is the …

For each finite simple group of Lie type there is a natural geometry called its building. It may
be defined using certain special (parabolic) subgroups, and in this paper we mimic this …

A systematic study of maximal subgroups of the sporadic simple groups began in the 1960s.
The work is now almost complete, only a few cases in the Monster remaining outstanding …

SA Syskin Introduction* The classification of the simple finite groups is the main problem of
modern finite group theory. It now seems possible that this problem will be solved in the …

An (l, m, n)-generated groupGis a quotient group of the triangle groupT (l, m, n)=〈 x, y, z| xl=
ym= zn= xyz= 1〉. In this paper the authors continue the study on the (p, q, r)-generations …

We present 15 new partial difference sets over 4 non-abelian groups of order 100 and 2 new
strongly regular graphs with intransitive automorphism groups. The strongly regular graphs …

A survey of the maximal subgroups of the finite simple groups Page 1 A Survey of the Maximal
Subgroups of the Finite Simple Groups Peter B. Kleidman and Martin W. Liebeck Abstract. We …

Publisher Summary This chapter discusses the structure of simple group F of order 2 14· 3 6·
5 6· 7· 11· 19. It also discusses the conjugacy classes and the character tables of CG (3 B) …

Subspace designs are the q-analogs of combinatorial designs. Introduced in the 1970s,
these structures gained a lot of interest recently because of their application to random …