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

Inverse Galois Theory is concerned with the question which finite groups occur as Galois
groups over a given field K. In particular this includes the question on the structure and the …

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 …

The monster sporadic group is the automorphism group of a central charge c= 24 c= 24
vertex operator algebra (VOA) or meromorphic conformal field theory (CFT). In addition to its …

Given a finite group $ G $, the symmetric genus of $ G $ is defined to be the smallest integer
$ g $ such that $ G $ acts faithfully on a closed orientable surface of genus $ g $. Previous to …

Anatomy of the Monster. I Page 218 Anatomy of the Monster: I SP Norton Abstract We
summarise much of what is currently known about the subgroup structure of the Fischer-Griess …

This book presents a complete classification of the transitive permutation representations of
rank at most five of the sporadic simple groups and their automorphism groups, together with …

We prove here the Martino-Priddy conjecture at the prime $2 $: the $2 $-completions of the
classifying spaces of two finite groups $ G $ and $ G'$ are homotopy equivalent if and only if …

We describe the current state of progress on the maximal subgroup problem for the Monster
sporadic simple group. Any unknown maximal subgroup is an almost simple group whose …

We obtain the following characterization of the solvable radical R (G) of any finite group G: R
(G) coincides with the collection of all g∈ G such that for any 3 elements a1, a2, a3∈ G the …