Canonical bases for normal subgroups of finitely generated free groups with finite abelian factor groups.
Commutativity theorems for rings and groups with constraints on commutators.
Commutator length of finitely generated linear groups.
Commutators and associators in Catalan loops
Various commutators and associators may be defined in one-sided loops. In this paper, we approximate and compare these objects in the left and right loop reducts of a Catalan loop. To within a certain order of approximation, they turn out to be quite symmetrical. Using the general analysis of commutators and associators, we investigate the structure of a specific Catalan loop which is non-commutative, but associative, that appears in the original number-theoretic application of Catalan loops.
Commutators and squares in free groups.
Commutators and squares in free nilpotent groups.
Connected transversals -- the Zassenhaus case
In this short note, it is shown that if are -connected transversals for a finite subgroup of an infinite group such that the index of in is at least 3 and whenever and then is a normal abelian subgroup of .