On the Capability of Finite Abelian Pairs of Groups

Author(s):

Azam hokmabadi , Marzieh Afkanpoor , Saeed Kayvanfar

Article Type:
Research/Original Article (بدون رتبه معتبر)
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 abeliangroups

Language:
English
Published:
Journal of Mathematical Extension, Volume:9 Issue: 2, Spring 2015
Pages:
1 to 8
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