On a definition for formations
By constructing appropriate faithful simple modules for the group GL(2,3), the author shows that certain "local" definitions for formations are not equivalent.
On a distance of groups and Latin squares
On a fixobject property for -semigroupoids
On a formula for the asymptotic dimension of free products
We prove an exact formula for the asymptotic dimension (asdim) of a free product. Our main theorem states that if A and B are finitely generated groups with asdim A = n and asdim B ≤ n, then asdim (A*B) = max n,1.
On a four-generator Coxeter group.
On a free action of a group on an Abelian group.
On a functorial property of power residue symbols. Erratum : Solution of the congruence subgroup problem for and
On a General Associativity Law in Groupoids.
On a generalization of a Prüfer-Kaplansky-Procházka theorem
On a generalization of a theorem of Burnside
A theorem of Burnside asserts that a finite group is -nilpotent if for some prime a Sylow -subgroup of lies in the center of its normalizer. In this paper, let be a finite group and the smallest prime divisor of , the order of . Let . As a generalization of Burnside’s theorem, it is shown that if every non-cyclic -subgroup of is self-normalizing or normal in then is solvable. In particular, if , where for and for , then is -nilpotent or -closed.
On a generalization of Fermat's theorem in the theory of groups
On a generalization of Fermat's theorem in the theory of groups.
On a generalization of groups with all subgroups subnormal
On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups
On a generalization of nets
On a generalization of the Baer-Suzuki theorem.
On a group acting locally freely on an Abelian group.
On a group that acts freely on an Abelian group.
On a hierarchy of groups of computable automorphisms.
On a Miller and Clifford Theorem.