Characterizing finite $p$-groups by their Schur multipliers, $t(G)=5$

Peyman Niroomand

Characterizing finite $p$-groups by their Schur multipliers, $t(G)=5$

Group Theory 2021-05-21 v2

Authors: Peyman Niroomand

Abstract

Let $G$ be a finite $p$ -group of order $p^n$ . It is known that $|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$ and $t(G)\geq 0$ . The structure of $G$ characterized when $t(G)\leq 4$ in \cite{be,el,ni,sa,zh}. The structure description of $G$ is determined in this paper for $t(G)=5$ .

Keywords

finite p-groups Schur multipliers group structure t(G)=5 p-group classification

Cite

@article{arxiv.1001.4257,
  title  = {Characterizing finite $p$-groups by their Schur multipliers, $t(G)=5$},
  author = {Peyman Niroomand},
  journal= {arXiv preprint arXiv:1001.4257},
  year   = {2021}
}

Comments

To appear in Mathematical Reports with small revisions

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