1. The automorphism group of any group G we denote by Y(G). We shall consider the following two types of subgroups of T(G) : if H is a subgroup of G, Y(G: H) is the subgroup consisting of all automorphisms which are the identity on H, and if H is a normal subgroup, Y(G: G/H) is the subgroup consisting of all automorphisms which leave H invariant and which induce the identity on G/H. For the spe...

BACKGROUND AND OBJECTIVES Bone marrow derived mesenchymal stem cells (BM-MSCs) have been proposed as effective treatment of many diseases owing to their unique ability to differentiate into other cell types in vivo. Schistosoma mansoni (S. mansoni) infection is characterized by hepatic granuloma formation around schistosome eggs at acute stage of infection, followed by hepatic fibrosis at chron...

in this paper we give a characterization for all semigroups whose square is a group. moreover, we axiomatize such semigroups and study some relations between the class of these semigroups and grouplikes,introduced by the author. also, we observe that this paper characterizes and axiomatizes a class of homogroups (semigroups containing an ideal subgroup).  finally, several equivalent conditions ...

let $g={rm sl}_2(p^f)$ be a special linear group and $p$ be a sylow‎ ‎$2$-subgroup of $g$‎, ‎where $p$ is a prime and $f$ is a positive‎ ‎integer such that $p^f>3$‎. ‎by $n_g(p)$ we denote the normalizer of‎ ‎$p$ in $g$‎. ‎in this paper‎, ‎we show that $n_g(p)$ is nilpotent (or‎ ‎$2$-nilpotent‎, ‎or supersolvable) if and only if $p^{2f}equiv‎ ‎1,({rm mod},16)$‎.

in this paper we find systems of subgroups of a finite‎ ‎group‎, ‎which $bbb p$-subnormality guarantees supersolvability‎ ‎of the whole group‎.

To the Editor: Lansing et al. (1) offer an intriguing approach to the prehistory of the island of Sumba. There is at least one critical f law in the reasoning used, the assumption that the languages of Sumba form a subgroup, being all derived from a single ancestral language, Proto-Sumba. The comparative method used by the authors allows us to subgroup languages together if two criteria are met...