Title : ( On the probability of being a 2-Engel group )
Authors: Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan ,
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Abstract
Let G be a nite group and d2(G) denotes the probability that [x; y; y] = 1 for randomly chosen elements x; y of G. We will obtain lower and upper bounds for d2(G) in the case where the sets EG(x) = fy 2 G : [y; x; x] = 1g are subgroups of G for all x 2 G. Also the given examples illustrate that all the bounds are sharp.
Keywords
, 2-Engel condition, 3-metabelian
@article{paperid:1040335,
author = {Erfanian, Ahmad and Farrokhi Derakhshandeh Ghouchan, Mohammad},
title = {On the probability of being a 2-Engel group},
journal = {نظریه گروه ها-International Journal of Group Theory},
year = {2013},
volume = {2},
number = {4},
month = {January},
issn = {2251-7650},
pages = {31--38},
numpages = {7},
keywords = {2-Engel condition; 3-metabelian},
}
%0 Journal Article
%T On the probability of being a 2-Engel group
%A Erfanian, Ahmad
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%J نظریه گروه ها-International Journal of Group Theory
%@ 2251-7650
%D 2013
