Title : ( On the probability of being a 2-Engel group )
Authors: Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan ,
Full TextAbstract
Let G be a finite group and E2(G) denote the probability that [x, y, y] = 1 for randomly chosen elements x, y of G. We will obtain lower and upper bounds for E2(G) in the case where the sets EG(x) = {y 2 G : [y, x, x] = 1} are subgroups of G for all x 2 G. Also the given examples illustrate that all the bounds are sharp.
Keywords
, Probability, 2-Engel condition
@inproceedings{paperid:1019571,
author = {Erfanian, Ahmad and Farrokhi Derakhshandeh Ghouchan, Mohammad},
title = {On the probability of being a 2-Engel group},
booktitle = {Biennial International Group Theory Conference 2011},
year = {2011},
location = {جهور باهرو},
keywords = {Probability; 2-Engel condition},
}
%0 Conference Proceedings
%T On the probability of being a 2-Engel group
%A Erfanian, Ahmad
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%J Biennial International Group Theory Conference 2011
%D 2011
