On Internal Formation Theory.
On invariants related to non-unique factorizations in block monoids and rings of algebraic integers
On Isoclinic Groups.
On Kurosh-Amitsur radicals of finite groups.
On lattice automorphisms of the special linear group
We show, with a counterexample, that proposition 3 in [2], as it stands, is not correct; we prove however that by changing the hypothesis the thesis of the proposition remains still valid.
On lattice properties of S-permutably embedded subgroups of finite soluble groups
In this paper we prove the following results. Let π be a set of prime numbers and G a finite π-soluble group. Consider U, V ≤ G and such that and . Suppose also is a Hall π-sub-group of some S-permutable subgroup of G. Then and . Therefore,the set of all S-permutably embedded subgroups of a soluble group G into which a given Hall system Σ reduces is a sublattice of the lattice of all Σ-permutable subgroups of G. Moreover any two subgroups of this sublattice of coprimeorders permute.
On loops that are abelian groups over the nucleus and Buchsteiner loops
We give sufficient and in some cases necessary conditions for the conjugacy closedness of provided the commutativity of . We show that if for some loop , and are abelian groups, then is a CC loop, consequently has nilpotency class at most three. We give additionally some reasonable conditions which imply the nilpotency of the multiplication group of class at most three. We describe the structure of Buchsteiner loops with abelian inner mapping groups.
On loops whose inner permutations commute
Multiplication groups of (finite) loops with commuting inner permutations are investigated. Special attention is paid to the normal closure of the abelian permutation group.
On minimal factorisations of sporadic groups.
On minimal length factorizations of finite groups.
On minimal logarithmic signatures of finite groups.
On minimal non-supersoluble groups.
On minimal permutation representations of classical simple groups.
On minimal subgroups which are normal.
On modular projective representations of finite nilpotent groups
Our aim is to determine necessary and sufficient conditions for a finite nilpotent group to have a faithful irreducible projective representation over a field of characteristic p ≥ 0.
On monomial p...-representations of finite p-groups.
On nonnilpotent groups in which every two 3-maximal subgroups are permutable.
On Normal Subgroups of p-Solvable Groups.
On n-Sum Groups.
On numbers with a unique representation by a binary quadratic form