Email this article On Thompson’s conjecture for alternating and symmetric groups of degree greater than 1361
- Authors: Gorshkov I.B.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Issue: Vol 293, No Suppl 1 (2016)
- Pages: 58-65
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/173527
- DOI: https://doi.org/10.1134/S0081543816050060
- ID: 173527
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Abstract
Let G be a finite group G, and let N(G) be the set of sizes of its conjugacy classes. It is shown that, if N(G) equals N(Altn) or N(Symn), where n > 1361, then G has a composition factor isomorphic to an alternating group Altm with m ≤ n and the interval (m, n] contains no primes.
About the authors
I. B. Gorshkov
Krasovskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: Ilygor8@gmail.com
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
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