Title : ( Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups )
Authors: Ahmad Erfanian , Rashid Rezaei , Francesco G. Russo ,
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Abstract
We correlate the notion of n-isoclinismof finite groups, introduced by J. C. Bioch in 1976,with the relative n-th nilpotency degree, recently studied in literature. We characterize also all the pairs which are isoclinic with (C,D8) via the relative commutativity degree d(C,D8), where C is a cyclic maximal subgroup of D8. A final conjecture is opened for the groups with few nontrivial values of d(C,G).
Keywords
, Commutativity degree; relative commutativity degree; n, th nilpotency degree; relativen, isoclinism
@article{paperid:1040336,
author = {Erfanian, Ahmad and Rashid Rezaei and Francesco G. Russo},
title = {Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups},
journal = {Filomat},
year = {2013},
volume = {27},
number = {2},
month = {January},
issn = {0354-5180},
pages = {367--371},
numpages = {4},
keywords = {Commutativity degree; relative commutativity degree; n-th nilpotency degree; relativen-isoclinism},
}
%0 Journal Article
%T Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups
%A Erfanian, Ahmad
%A Rashid Rezaei
%A Francesco G. Russo
%J Filomat
%@ 0354-5180
%D 2013
