The non-cancellation set of a group G, denoted by χ (G), is defined to be the set of all
isomorphism classes of groups H such that G× Z∼= H× Z. While investigating when Z can …

For two finitely generated groups with finite commutator subgroup G< sub> 1 and G< sub> 2,
homomorphisms between genera of groups G (G< sub> 1) and G (G< sub> 2) have been …

For two finitely generated groups with finite commutator subgroup G1 and G2,
homomorphisms between genera of groups G (G1) and G (G2) have been established in the …

The property of mutual embeddings of index not divisible by any prime in a given finite set of
primes has been used successfully in the case of finitely generated groups with finite …

Non-cancellation group of a direct product Page 1 Groups, St Andrews 2017 Non-cancellation
group of a direct product R. Kwashira1, 2 Work with JC Mba3 1 University of the …

The groups we consider in this study belong to the class X 0 of all finitely generated groups
with finite commutator subgroups. We shall eventually narrow down to the groups of the form …

A survey of some recent classification results for gradings by abelian groups on finite
dimensional simple Lie algebras over algebraically closed fields will be given. This will …