Title : ( On the 2-Nilpotent Multiplier of a Finite p-Groups )
Authors: Penman Niroomand , Mohsen Parvizi ,
Full TextAbstract
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
, Nilpotent multiplier, Schur multiplier, non abelian $p$-groups, 2-capable groups, capable groups, extra-special groups
@article{paperid:1054491,
author = {Penman Niroomand and Parvizi, Mohsen},
title = {On the 2-Nilpotent Multiplier of a Finite p-Groups},
journal = {Glasgow Mathematical Journal},
year = {2015},
volume = {57},
number = {1},
month = {January},
issn = {0017-0895},
pages = {201--210},
numpages = {9},
keywords = {Nilpotent multiplier; Schur multiplier; non abelian $p$-groups; 2-capable groups; capable groups; extra-special groups},
}
%0 Journal Article
%T On the 2-Nilpotent Multiplier of a Finite p-Groups
%A Penman Niroomand
%A Parvizi, Mohsen
%J Glasgow Mathematical Journal
%@ 0017-0895
%D 2015
