On the Capability of Finite Abelian Pairs of Groups
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....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2015-08-01
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| Series: | Journal of Mathematical Extension |
| Subjects: | |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/274 |
| Summary: | 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. |
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| ISSN: | 1735-8299 1735-8299 |