This book classifies the maximal subgroups of the almost simple finite classical groups in
dimension up to 12; it also describes the maximal subgroups of the almost simple finite …

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

In theory there is no difference between theory and practice. In practice there is. Yogi Berra
A SINGULAR Introduction to Commutative Algebra offers a rigorous intro duction to …

This book is about the computational aspects of invariant theory. Of central interest is the
question how the invariant ring of a given group action can be calculated. Algorithms for this …

The representation theory of symmetric groups is one of the most beautiful, popular, and
important parts of algebra with many deep relations to other areas of mathematics, such as …

The author has determined, for all simple simply connected reductive linear algebraic
groups defined over a finite field, all the irreducible representations in their defining …

For a finite group G, ω (G) denotes the set of orders of its elements. If ω is a subset of the set
of natural numbers, h (ω) stands for the number of pairwise nonisomorphic finite groups G …

Abstract The Gruenberg–Kegel graph Γ (G) associated with a finite group G is an undirected
graph without loops and multiple edges whose vertices are the prime divisors of| G| and in …

Let G be a finite almost simple group, with L= F∗(G) the unique minimal normal subgroup of
G—so L is a finite simple group. For x∈ G, let α (x) be the minimal number of L-conjugates of …

In this paper we obtain a classification of those subgroups of the finite general linear group.
In the course of the analysis, we obtain new results on modular representations of finite …