Upper Marginal Series and Capability...

Abstract

Let { cal N}_c be the

variety of nilpotent groups of class at most c (c geq 1) .

We say that a group G is { cal N}_c -capable if

G cong E/Z_c(E) , for some group E .

In this talk it is shown...

subject to being the image in $G$ of the marginal subgroup of some $\\\\cal

V$-marginal extension of $G$. $(V^*)^*(G)$ is characteristic and is also

the smallest subgroup of $V^*(G)$ whose factor-group is $\\\\cal V$-capable.

Hence a necessary...

This talk is a survey article on the classification of

groups. The classification of prime power groups of order at most

p6 was done using the notion of isoclinism and invoking a fundamental

instrument, namely the capability...

The main purpose of this paper is to prove some properties of a pair of groups from point of view of capability, the notion which was first introduced by G.Ellis [1] in 1996....

A group G is said to be capable if it is isomorphic to the inner automorphism group Inn(G) of some group E. This article is devoted to some results on the capability of semidirect product....

In [2] (or [3]) we have shown that every group $G$ possesses a uniquely

determined

subgroup $(V^*)^*(G)$ of the marginal subgroup $V^*(G)$ , which is minimal

subject to being the image in $G$ of the ...

‎It is shown that for a capable group $G,$ the index of the center is bounded above by the function‎

‎$|G'|^{2log_{2}|G'|}$‎. ‎In this talk‎, ‎we intend to determine the sufficient conditions for capability of group $G$ which satisfies...

A group G is called capable if it is the group of inner automorphisms

of some group E. Capable pairs are defined in terms of a relative

central extension. In this paper we introduce the precise center

for a pair of groups...

The present study explored the reliability and construct validity of the 82-item Integrated Spiritual Intelligence Scale (ISIS) designed by Amram and Dryer (2008) in Iran. To this end the ISIS was translated into Persian ...