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

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    • 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
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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