On factor S-sets of monoids modulo submonoids.
On factorisable soluble groups
The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.
On factorisations onto the Bicyclic semigroup.
On factorizations of finite Abelian groups which admit replacement of a Z-set by a subgroup.
On faithful projective representations of finite abelian p-groups over a field of characteristic p
Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.
On Faithful Representations of the Holomorph of Lie Groups.
On ...-filtered vector spaces and their application to abelian p-groups: I.
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 commutative IP-loops with elementary abelian inner mapping groups of order
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order are centrally nilpotent of class at most two.
On finite commutative IP-loops with elementary abelian inner mapping groups of order
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order are centrally nilpotent of class at most two.
On finite commutative loops which are centrally nilpotent
Let be a finite commutative loop and let the inner mapping group , where is an odd prime number and . We show that is centrally nilpotent of class two.
On Finite Desarguesian Planes. III.
On finite dimensional representations of non-connected reductive groups.
On finite groups acting on acyclic complexes of dimension two.
We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.
On Finite Groups Generated by Odd Transpositions. I.
On finite groups isospectral to simple symplectic and orthogonal groups.
On Finite Groups with Given Conjugate Types. III.
On finite groups with independent subgroups.
On finite groups with some conditions on subsets.