نظریه گروه ها-International Journal of Group Theory, Volume (2), No (4), Year (2013-1) , Pages (31-38)
Title : ( On the probability of being a 2-Engel group )
Authors: Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
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.
