Author(s): C. M. Campbell, M. R. Quick, E. F. Robertson, G. C. Smith
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 2007
Language: English
Pages: 366
Cover......Page 1
Title Page......Page 4
Copyright......Page 5
Contents of Volume 1......Page 6
Contents of Volume 2......Page 8
Aspects of infinite permutation groups ......Page 12
Self-similarity and branching in group theory ......Page 47
On surface groups: motivating examples in combinatorial group theory ......Page 107
Nilpotent p-algebras and factorized p-groups ......Page 141
Classification of finite groups by the number of element centralizers ......Page 159
Algorithmic use of the Mal'cev correspondence ......Page 169
Minimal but inefficient presentations for semi-direct products of finite cyclic monoids ......Page 181
The modular isomorphism problem for finite p-groups with a cyclic subgroup of index p^2......Page 197
On one-generated formations ......Page 205
New results on products of finite groups ......Page 210
Radical locally finite T-groups ......Page 214
Explicit tilting complexes for the Brou?Le conjecture on 3-blocks ......Page 218
Conjugacy classes of p-regular elements in p-solvable groups ......Page 235
An algorithm for the unit group of the Burnside ring of a finite group ......Page 241
Integral group ring of the first Mathieu simple group ......Page 248
Embedding properties in direct products ......Page 257
Malcev presentations for subsemigroups of groups --- a survey ......Page 267
Finite groups with extremal conditions on sizes of conjugacy classes and on degrees of irreducible characters ......Page 280
Conjugacy class structure in simple algebraic groups ......Page 285
On automorphisms of products of groups ......Page 299
Linear groups with infinite central dimension ......Page 317
G-automata, counter languages and the Chomsky hierarchy ......Page 324
An embedding theorem for groups universally equivalent to free nilpotent groups ......Page 330
Irreducible word problems in groups ......Page 338
Recent growth results ......Page 352