On dimensions in Bredon homology.
On disjoint covering of groups by their cosets
On embedding properties of -groups.
On Engel-like congruences
On Equality Of Indices
On equality of indices.
On exact power margin groups
On explicit relations between cyclotomic numbers
On exponential growth rates for free groups.
Let Fp be a free group of rank p ≥ 2. It is well-known that, with respect to a p-element generating set, that is, a basis, the exponential growth rate of Fp is 2p-1. We show that the exponential growth rate τ of a group G with respect to a p-element generating set X is 2p-1 if and only if G is free on X; otherwise τ < 2p-1. We also prove that, for any finite generating set X of Fp which is disjoint from X-1, the exponential growth rate τ of Fp with respect to X is 2p-1 if and only if X is...
On extensions of homomorphisms.
On extensions of the maximal cyclotomic field having a given classical Galois group.
On factor coverings of groups
On finite 3-generated 2-groups of Alperin.
On finite abelian groups realizable as Mislin genera.
We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.
On finite groups with some conditions on subsets.
On finite subgroups of groups of type VF.
On Finitely Generated Soluble Linear Groups.
On Fitting Formations.
On free subgroups of generalized triangle groups.
On Frobenius groups containing an element of order 3.