• Characterization of finite $p$-groups by their Schur multiplier

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/128/04/0049

• # Keywords

Schur multiplier; finite p-groups

• # Abstract

Let $G$ be a finite $p$-group of order $p^{n}$ and $M(G)$ be its Schur multiplier. Itis a well known result by Green that $\mid{M(G)}\mid = p^{\frac{1}{2}n(n−1)−t(G)}$ for some $t(G) \geq 0$. In this article, we classify non-abelian $p$-groups $G$ of order $p^{n}$ for $t(G) = log_{p}(\mid{G}\mid) + 1$.

• # Author Affiliations

1. School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India
2. Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400 085, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019