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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1002–1006
(Mi smj1345)
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This article is cited in 3 scientific papers (total in 3 papers)
Recognition by the set of element orders of symmetric groups of degree $r$ and $r+1$ for prime $r$
A. V. Zavarnitsin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We prove that the symmetric group $S_r$ of prime degree $r\geq 17$ is recognizable by its element order set. A test for recognizability is obtained for the symmetric group $S_{r+1}$ with $r\geq 17$ prime.
Keywords:
finite group, element order, recognition.
Received: 10.07.2001
Citation:
A. V. Zavarnitsin, “Recognition by the set of element orders of symmetric groups of degree $r$ and $r+1$ for prime $r$”, Sibirsk. Mat. Zh., 43:5 (2002), 1002–1006; Siberian Math. J., 43:5 (2002), 808–811
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https://www.mathnet.ru/eng/smj1345 https://www.mathnet.ru/eng/smj/v43/i5/p1002
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