Ars Combinatoria, ( ISI ), Volume (109), No (1), Year (2013-4) , Pages (65-70)

Title : ( The Relative n-th Commutativity Degree of 2-Generator p-Groups of Nilpotency Class Two )

Authors: ّFadila Nor Mahia Abd Manaf , Nor Haniza Sarmin , Ahmad Erfanian , Behnaz Tolue Haghighi ,

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Abstract. Let H be a subgroup of a nite group G. The relative n-th com- mutativity degree, denoted as Pn(H;G) is the probability of commuting the n-th power of a random element of H with an element of G. Obviously, if H = G then the relative n-th commutativity degree coincides with the n-th commutativity degree, Pn(G). The purpose of this article is to compute the explicit formula for Pn(G), where G is a 2-generator p-group of nilpotency class two. Furthermore, we observe that if we have two pairs of relative isoclinic groups, then they have equal relative n-th commutativity degree.

Keywords

, n-th commutativity degree, 2-generator p-groups of nilpotency
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@article{paperid:1040339,
author = {ّFadila Nor Mahia Abd Manaf and Nor Haniza Sarmin and Erfanian, Ahmad and Tolue Haghighi, Behnaz},
title = {The Relative n-th Commutativity Degree of 2-Generator p-Groups of Nilpotency Class Two},
journal = {Ars Combinatoria},
year = {2013},
volume = {109},
number = {1},
month = {April},
issn = {0381-7032},
pages = {65--70},
numpages = {5},
keywords = {n-th commutativity degree; 2-generator p-groups of nilpotency class wo.},
}

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%0 Journal Article
%T The Relative n-th Commutativity Degree of 2-Generator p-Groups of Nilpotency Class Two
%A ّFadila Nor Mahia Abd Manaf
%A Nor Haniza Sarmin
%A Erfanian, Ahmad
%A Tolue Haghighi, Behnaz
%J Ars Combinatoria
%@ 0381-7032
%D 2013

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