Groups St Andrews 1997 in Bath, Volume 2

Frontmatter......Page 1
Contents......Page 5
Introduction......Page 9
Galois groups through invariant relations......Page 11
Construction of Co3. An example of the use of an integrated system for computational group theory......Page 26
Embedding some recursively presented groups......Page 42
The Dedekind-Frobenius group determinant: new life in an old problem......Page 49
Group characters and [GREEK SMALL LETTER PI]-sharpness......Page 61
Permutation group algorithms via black box recognition algorithms......Page 68
Nonabelian tensor products of groups: the commutator connection......Page 79
Simple subalgebras of generalized Witt algebras of characteristic zero......Page 87
Applications of the Baker-Hausdorff formula in the theory of finite p-groups......Page 92
Generalizations of the restricted Burnside problem for groups with automorphisms......Page 106
The [N-ARY SUMMATION]m-conjecture for a class of metabelian groups......Page 124
Rings with periodic groups of units II......Page 135
Some free-by-cyclic groups......Page 144
The residually weakly primitive geometries of the Suzuki simple group Sz(8)......Page 149
Semigroup identities and Engel groups......Page 159
Groups whose elements have given orders......Page 164
The Burnside groups and small cancellation theory......Page 170
Solvable Engel groups with nilpotent normal closures......Page 192
Nilpotent injectors in finite groups......Page 200
Some groups with right Engel elements......Page 203
The growth of finite subgroups in p-groups......Page 211
Symplectic amalgams and extremal subgroups......Page 228
Primitive prime divisor elements in finite classical groups......Page 237
On the classification of generalized Hamiltonian groups......Page 256
Permutability properties of subgroups......Page 265
When Schreier transversals grow wild......Page 271
Probabilistic group theory......Page 280
Combinatorial methods: from groups to polynomial algebras......Page 311
Formal languages and the word problem for groups......Page 321
Periodic cohomology and free and proper actions on [DOUBLE-STRUCK CAPITAL R]n × Sm......Page 333
On modules over group rings of soluble groups of finite rank......Page 350
On some series of normal subgroups of the Gupta-Sidki 3-group......Page 360