English

Some Inequalities for Nilpotent Multipliers of Finite Groups

Group Theory 2010-12-16 v1

Abstract

In this paper we present some inequalities for the order, the exponent and the number of generators of the cc-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups of class at most c1c \geq 1) of a finite group and specially of a finite pp-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.

Keywords

Cite

@article{arxiv.1012.3250,
  title  = {Some Inequalities for Nilpotent Multipliers of Finite Groups},
  author = {Behrooz Mashayekhy and Fahimeh Mohammadzadeh and Azam Hokmabadi},
  journal= {arXiv preprint arXiv:1012.3250},
  year   = {2010}
}

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15 pages