Title of article
Probability of having nth-roots and n-centrality of two classes of groups
Author/Authors
Hashemi, M. Faculty of Mathematical Sciences - University of Guilan, Rasht , Polkouei, M. Faculty of Mathematical Sciences - University of Guilan, Rasht
Pages
8
From page
55
To page
62
Abstract
In this paper, we consider the nitely 2-generated groups K(s; l) and Gm as
follows;
K(s; l) = ⟨a; bjabs = bla; bas = alb⟩;
Gm = ⟨a; bjam = bm = 1; [a; b]a = [a; b]; [a; b]b = [a; b]⟩
and find the explicit formulas for the probability of having nth-roots for them. Also we
investigate integers n for which, these groups are n-central.
Keywords
Nilpotent groups , nth-roots , n-central groups
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2441834
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