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arXiv · 2008.06307

Recognizing $A_7$ by its set of element orders

Enrico Jabara·Andrey Mamontov
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Abstract

Let $G$ be a periodic group, the spectrum $\omega(G) \subseteq \mathbb{N}$ of $G$ is the set of orders of elements in $G$. In this paper we prove that the alternating group $A_{7}$ is uniquely defined by its spectrum in the class of all groups.

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Enrico Jabara, Andrey Mamontov. 2020-08-14. Recognizing $A_7$ by its set of element orders. https://arxiv.org/abs/2008.06307

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