The distribution of descents and length in a Coxeter group.
The divisible radical of a group
We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.
The dual braid monoid
The Embedding of an Ordered Semigroup in an Ordered group via the Quotient Condition
The endocenter and its applications to quasigroup representation theory
A construction is given, in a variety of groups, of a ``functorial center'' called the endocenter. The endocenter facilitates the identification of universal multiplication groups of groups in the variety, addressing the problem of determining when combinatorial multiplication groups are universal.
The Engel length of the product of Engel elements.
The equation in partially commutative groups.
The equation in partially commutative groups.
The -local subgroups of the groups with a generalized finite element of order 2 or 4.
The Fibonacci automorphism of free Burnside groups
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
The Fibonacci automorphism of free Burnside groups
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
The Finiteness Obstructions for Nilpotent Spaces lie in D (...).
The Fitting class generated by the -perfect groups
The five-group theorem
The fixed group of an automorphism of a word hyperbolic group is rational.
The formation generated by a finite group
The fundamental group of a Galois cover of .
The Garnir relations for Weyl groups of type .
The genus problem for one-relator products of locally indicable groups.
The geometric invariants of direct products of virtually free groups.