2018•Communications in AlgebraRequires access
On finite groups with a given number of exterior centralizers
M. Divandari, Fatemeh Pazandeh Shanbehbazari, Peyman Niroomand, Asadollah Faramarzi Salles
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Abstract
A group G is called n-centralizer if it has n distinct centralizers. In this paper, in analogs to n-centralizer, we say a group G is n-exterior centralizer provided G has n distinct exterior centralizers. The current paper is devoted to characterize all groups that are n-exterior centralizer, where n∈{1,2,3,4,5}.