Some Inequalities for Nilpotent Multipliers of Finite Groups

Details Some Inequalities for Nilpotent Multipliers of Finite Groups Some Inequalities for Nilpotent Multipliers of Finite Groups

2010-12-15

arxiv.org/abs/1012.3250v1

International Journal of Mathematics, Game Theory and Algebra, 19:1/2 (2010) 27-40

Mathematics

Group Theory

15 pages

Scientific paper

In this paper we present some inequalities for the order, the exponent and the number of generators of the $c$-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of class at most $c \geq 1$) of a finite group and specially of a finite $p$-group. Our results generalize some previous related results of M.R. Jones and M.R.R. Moghaddam. Also, we show that our results improve some of the previous inequalities.

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