Open AccessA Characterization of 4-Centralizer Groups
Author(s) -
Jutirekha Dutta
Publication year - 2013
Publication title -
chinese journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2314-8071
DOI - 10.1155/2013/871072
Subject(s) - algorithm , artificial intelligence , computer science
A finite or infinite group is called an n-centralizer group if it has n numbers of distinct centralizers. In this paper, we prove that a finite or infinite group G is a 4-centralizer group if and only if G/Z(G) is isomorphic to C2×C2. This extends a result of Belcastro and Sherman
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