2012Journal of linear and topological algebraRequires access

Commutativity degree of Zp ≀ Zpn

Mohammad Maghasedi

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Abstract

For a finite group G the commutativity degree denote by d(G) and defind: d(G) = |{ (x,y )|x,y 2 G,xy = yx }| |G|2 . In (2) authors found commutativity degree for some groups,in this paper we find commuta- tivity degree for a class of groups that have high nilpontencies.

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For a finite group G the commutativity degree denote by d(G) and defind: d(G) = |{ (x,y )|x,y 2 G,xy = yx }| |G|2 . In (2) authors found commutativity degree for some groups,in this paper we find commuta- tivity degree for a class of groups that have high nilpontencies.

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Available abstract

For a finite group G the commutativity degree denote by d(G) and defind: d(G) = |{ (x,y )|x,y 2 G,xy = yx }| |G|2 . In (2) authors found commutativity degree for some groups,in this paper we find commuta- tivity degree for a class of groups that have high nilpontencies.

Key concepts: Degree (music), Commutative property, Mathematics, Group (periodic table), Class (philosophy), Pure mathematics, Finite group, Combinatorics

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