Group Theory Seminar , 2009-08-19

Title : ( On the probability that two elements commute in some fi nite groups )

Authors: Ahmad Erfanian ,

Citation: BibTeX | EndNote

Let G be a nite group. Then the commutativity degree of G which is denoted by d(G) is the probability that a randomly chosen pair of elements in a group G commutes. In this talk, I will give some upper and lower bounds for d(G) and the exact evaluation for some known groups. Furthermore, I will state some generalizations of commutativ- ity degree to the relative commutativity degree, n-th nilpotency degree, relative n-th nilpotency degree and n-th commutativity degree. Some results and conjectures will be also given in this article.

Keywords

, Commutativity degree, relative commutativity degree, n-th nilpotency de- gree, relative n-th nilpotency degree, n-th commutativity
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@inproceedings{paperid:1022937,
author = {Erfanian, Ahmad},
title = {On the probability that two elements commute in some fi nite groups},
booktitle = {Group Theory Seminar},
year = {2009},
location = {Jojor Bahru},
keywords = {Commutativity degree; relative commutativity degree; n-th nilpotency de- gree; relative n-th nilpotency degree; n-th commutativity degree.},
}

[Download]

%0 Conference Proceedings
%T On the probability that two elements commute in some fi nite groups
%A Erfanian, Ahmad
%J Group Theory Seminar
%D 2009

[Download]