English

Finite $p$-groups of conjugate type $\{ 1, p^3 \}$

Group Theory 2017-08-01 v1

Abstract

We classify finite pp-groups, upto isoclinism, which have only two conjugacy class sizes 11 and p3p^3. It turns out that the nilpotency class of such groups is 22.

Keywords

Cite

@article{arxiv.1707.09746,
  title  = {Finite $p$-groups of conjugate type $\{ 1, p^3 \}$},
  author = {Tushar Kanta Naik and Manoj K. Yadav},
  journal= {arXiv preprint arXiv:1707.09746},
  year   = {2017}
}

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12 pages