Some commutativity criteria
Some commutativity criteria. - II
Some conditions implying that an infinite group is abelian
Some conditions on infinite subsets of infinite groups.
Some generalized Coxeter groups and their orbifolds.
In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.
Some group theoretic problems inspired by ring theoretic analogies.
Some infinite p-groups.
Some Investigations Concerning Kazhdan-Lusztig cells in Finite Coxeter groups of type A_n
Some new applications of orbit harmonics.
Some properties of an archimedean -group
Some properties of generalized wreath products
Some Properties of the Fundamental Group of a Fuchsian Manifold.
Some questions on quasinilpotent groups and related classes.
In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).
Some questions on the number of generators of a finite group
Some Recent Results on Squarefree Words
Some Recognizable Properties of Solvable Groups.
Some Remarks about Multiplicators and Finitely Presented Groups.
Some remarks on almost finitely generated nilpotent groups.
We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp ≅ Hp for all p. The we have proper set-inclusions:{fg} ⊂ {fg-like} ⊂ {fgp}.We examine the extent to which fg-like nilpotent groups satisfy the axioms for a Serre class. We obtain a complete answer only in the case that [G, G] is finite. (The collection of fgp nilpotent groups...
Some remarks on groups in which elements with the same -power commute
In this paper we characterize certain classes of groups in which, from (, a fixed prime), it follows that . Our results extend results previously obtained by other authors, in the finite case.
Some remarks on Lorenzen -group of partly ordered groups