Asian-European Journal of Mathematics, Volume (7), No (1), Year (2014-3) , Pages (1-9)

Title : ( A note on the relative commutativity degree of finite groups )

Authors: Rashid Rezaei , Ahmad Erfanian ,

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The purpose of this paper i s to give a relati on b etween the notion of the commutativity degr ee of a fini te gr oup G (denoted by d(G)) and that o f i s o cl i n i s m b etween G and an extr a s p eci al p - gr oup, wher e p is the smallest pr ime numb er dividing | G | .Moreover, s o m e i m pr ovem ents of the r es ul ts on the r el ati ve com mu tati vi ty degr ee and r el ati ve n th ni l p otency degr ee of a s ubgr oup of fini te gr oups gi ven i n [ A . Er f ani an, R . R ezaei and P. Les cot, O n the r el ati ve com mutati v i ty d egr ee of a s ubgr oup of a fini te gr oup, Comm. Algebra 35 (2007) 4183–4197] ar e a l s o s tated i n thi s p ap er .

Keywords

, Relative commutativity degree; relative n, th nilpotency degree; isoclinism; extra special
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@article{paperid:1047070,
author = {Rashid Rezaei and Erfanian, Ahmad},
title = {A note on the relative commutativity degree of finite groups},
journal = {Asian-European Journal of Mathematics},
year = {2014},
volume = {7},
number = {1},
month = {March},
issn = {1793-5571},
pages = {1--9},
numpages = {8},
keywords = {Relative commutativity degree; relative n-th nilpotency degree; isoclinism; extra special p-group},
}

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%0 Journal Article
%T A note on the relative commutativity degree of finite groups
%A Rashid Rezaei
%A Erfanian, Ahmad
%J Asian-European Journal of Mathematics
%@ 1793-5571
%D 2014

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