Title : ( Classification of $p$-groups via their $2$-nilpotent multipliers )
Authors: Peyman Niroomand , Mohsen Parvizi ,
Full TextAbstract
For a p-group of order pn, it is known that the order of 2-nilpotent multiplier is equal to |M^2(G)=p^1/2n(n-1)(n-2)+3-s_2(G)|, for an integer s_2(G). In this article, we characterize all non-abelian p-groups satisfying s_2(G)\\\\\\\\in {1,2,3}.
Keywords
, Nilpotent multiplier, Schur multiplier, non-abelian p-groups, 2-capable groups, capable groups, extra-special groups
@article{paperid:1100459,
author = {پیمان نیرومند and Parvizi, Mohsen},
title = {Classification of $p$-groups via their $2$-nilpotent multipliers},
journal = {Mathematical Journal of the University of Padova},
year = {2023},
volume = {150},
month = {May},
issn = {0041-8994},
pages = {127--136},
numpages = {9},
keywords = {Nilpotent multiplier; Schur multiplier; non-abelian p-groups; 2-capable groups;
capable groups; extra-special groups},
}
%0 Journal Article
%T Classification of $p$-groups via their $2$-nilpotent multipliers
%A پیمان نیرومند
%A Parvizi, Mohsen
%J Mathematical Journal of the University of Padova
%@ 0041-8994
%D 2023
