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arXiv · 2006.07961

Characterization of some alternating groups by order and the largest element order

Ali Mahmoudifar·Ayoub Gharibkhajeh
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Abstract

The prime graph (or Gruenberg-Kegel graph) of a finite group $G$ is a familiar graph. In this paper first, we investigate the structure of the finite groups with a non-complete prime graph. Then we prove that every alternating group $A_{n}$, where $n\leq20$ or $n\in\{23,24\}$ is determined by its order and its largest element order.

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Ali Mahmoudifar, Ayoub Gharibkhajeh. 2020-06-14. Characterization of some alternating groups by order and the largest element order. https://arxiv.org/abs/2006.07961

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