A group G has subnormal deviation at most 1 if, for every descending chain H0 > H1 > . . . of non-subnormal subgroups of G, for all but finitely many i there is no infinite descending chain of non-subnormal subgroups of G that contain Hi+1 and are contained in Hi. This property P, say, was investigated in a previous paper by the authors, where soluble groups with P and locally nilpotent groups ...

In this paper we study some locally soluble FC-groups G all of whose factor-groups G/N are residually finite.

We consider Turing machines as actions over configurations in ΣZ d which only change them locally around a marked position that can move and carry a particular state. In this setting we study the monoid of Turing machines and the group of reversible Turing machines. We also study two natural subgroups, namely the group of finite-state automata, which generalizes the topological full groups stud...

We show that a set with an action of a locally finite-dimensional free partially commutative monoid and the corresponding semicubical set have isomorpic homology groups. We build a complex of finite length for the computing homology groups of any asynchronous transition system with finite maximal number of mutually independent events. We give examples of computing the homology groups. 2000 Math...

Let $G$ be a finite group‎. ‎A subset $X$ of $G$ is a set of pairwise non-commuting elements‎ ‎if any two distinct elements of $X$ do not commute‎. ‎In this paper‎ ‎we determine the maximum size of these subsets in any finite‎ ‎non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup‎.

INFINITE LOCALLY FINITE GROUPS OF TYPE PSL(2, K) OR Sz(K) ARE NOT MINIMAL UNDER CERTAIN CONDITIONS JAVIER OTAL AND JUAN MANUEL PENA In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration . We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simpl...