Manoj K. Yadav

  1. Class preserving automorphisms of finite $p$-groups: A survey.

    Authors: Manoj K. Yadav
    Subjects: Group Theory
    Abstract

    In this short survey article, we try to list maximum number of known results
    on class preserving automorphisms of finite $p$-groups. We conclude the survey
    with some interesting (at least to me) open problems on this topic.

  2. On finite capable $p$-groups of class 2 with cyclic commutator subgroups.

    Authors: Manoj K. Yadav
    Subjects: Group Theory
    Abstract

    We study finite capable $p$-groups $G$ of nilpotency class 2 such that the
    commutator subgroup $\gamma_2(G)$ of $G$ is cyclic and the center of $G$ is
    contained in the Frattini subgroup of $G$.

  3. Automorphisms of abelian group extensions.

    Authors: I. B. S. Passi, Mahender Singh, Manoj K. Yadav
    Subjects: Group Theory
    Abstract

    Let $1 \to N \to G \to H \to 1$ be an abelian extension. The purpose of this
    paper is to study the problem of extending automorphisms of $N$ and lifting
    automorphisms of $H$ to certain automorphisms of $G$.

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