• Class-preserving automorphisms of some finite 𝑝-groups

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    • Keywords


      Class-preserving automorphism; 𝑝-group; central automorphism.

    • Abstract


      Let 𝐺 be a finite 𝑝-group of order 𝑝5, where 𝑝 is a prime. We give necessary and sufficient conditions on 𝐺 such that 𝐺 has a non-inner class-preserving automorphism. As a consequence, we give short and alternate proofs of results of Yadav (§5 of Proc. Indian Acad. Sci. (Math. Sci.) 118 (2008) 1–11) and Kalra and Gumber (Theorem 4.2 of Indian J. Pure Appl. Math. 44 (2013) 711–725).

    • Author Affiliations


      Deepak Gumber1 Mahak Sharma2

      1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India
      2. Department of Applied Sciences and Humanities, Baddi University of Emerging Sciences and Technology, Baddi 173 205, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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