Title : ( On the Capability of Finite Abelian Pairs of Groups )
Authors: A. Hokmabadi , marziye afkanpour , Saeed Kayvanfar ,
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Abstract
A group G is called capable if it is isomorphic to the group of inner automorphisms of some group H. The notion of capable groups was extended to capable pairs by G. Ellis, in 1996. Recently, a classification of capable pairs of finite abelian groups was given by A. Pourmirzaei, A. Hokmabadi and S. Kayvanfar. In this paper, we give a different characterization of capable pairs of finite abelian groups in terms of a condition on the lattice of subgroups.
Keywords
, Capability, pairs of groups, finite abelian groups.
@article{paperid:1057255,
author = {A. Hokmabadi and Afkanpour, Marziye and Kayvanfar, Saeed},
title = {On the Capability of Finite Abelian Pairs of Groups},
journal = {Journal of Mathematical Extension},
year = {2015},
volume = {9},
number = {2},
month = {May},
issn = {1735-8299},
pages = {1--8},
numpages = {7},
keywords = {Capability; pairs of groups; finite abelian groups.},
}
%0 Journal Article
%T On the Capability of Finite Abelian Pairs of Groups
%A A. Hokmabadi
%A Afkanpour, Marziye
%A Kayvanfar, Saeed
%J Journal of Mathematical Extension
%@ 1735-8299
%D 2015
