Products of groups and class sizes of $\pi$-elements

M. J. Felipe; A. Martínez-Pastor; V. M. Ortiz-Sotomayor

Products of groups and class sizes of $\pi$-elements

Group Theory 2018-12-27 v1

Authors: M. J. Felipe , A. Martínez-Pastor , V. M. Ortiz-Sotomayor

Abstract

We provide structural criteria for some finite factorised groups $G = AB$ when the conjugacy class sizes in $G$ of certain $\pi$ -elements in $A\cup B$ are either $\pi$ -numbers or $\pi'$ -numbers, for a set of primes $\pi$ . In particular, we extend for products of groups some earlier results.

Keywords

finite factorised groups conjugacy class sizes pi-elements pi-numbers products of groups

Cite

@article{arxiv.1812.09391,
  title  = {Products of groups and class sizes of $\pi$-elements},
  author = {M. J. Felipe and A. Martínez-Pastor and V. M. Ortiz-Sotomayor},
  journal= {arXiv preprint arXiv:1812.09391},
  year   = {2018}
}

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