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ON THE 2-NILPOTENT MULTIPLIER OF FINITE p-GROUPS

Published online by Cambridge University Press:  22 December 2014

PEYMAN NIROOMAND  and
MOHSEN PARVIZI
PEYMAN NIROOMAND
Affiliation:
School of Mathematics and Computer Science, Damghan University, Damghan 36715-364, Iran e-mail: niroomand@du.ac.ir, p_niroomand@yahoo.com
MOHSEN PARVIZI
Affiliation:
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad 91775, Iran e-mail: parvizi@math.um.ac.ir
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Abstract

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The purpose of this paper is a further investigation on the 2-nilpotent multiplier, $\mathcal{M}$(2)(G), when G is a non-abelian p-group. Furthermore, taking G in the class of extra-special p-groups, we will get the explicit structure of $\mathcal{M}$(2)(G) and will classify 2-capable groups in that class.

Keywords

20C2520D15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 1 , January 2015 , pp. 201 - 210
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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