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arXiv · 1012.3243

Some Inequalities for Nilpotent Multipliers of Powerful $p$-Groups

Behrooz Mashayekhy·Fahimeh Mohammadzadeh
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Abstract

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 powerful p-group. Our results extend some of Lubotzky and Mann$^{,}$s (Journal of Algebra, 105 (1987), 484-505.) to nilpotent multipliers. Also, we give some explicit examples showing the tightness of our results and improvement some of the previous inequalities.

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BibTeXRIS

Behrooz Mashayekhy, Fahimeh Mohammadzadeh. 2010-12-15. Some Inequalities for Nilpotent Multipliers of Powerful $p$-Groups. https://arxiv.org/abs/1012.3243

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