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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       

      SUMANA HATUI1 2

      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
    • Dates

       
  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.