Email this article Intersection of Conjugate Solvable Subgroups in Symmetric Groups
- Authors: Baikalov A.A.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 56, No 2 (2017)
- Pages: 87-97
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234026
- DOI: https://doi.org/10.1007/s10469-017-9431-z
- ID: 234026
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Abstract
It is proved that for any solvable subgroup G of an almost simple group S with simple socle isomorphic to An, n ≥ 5, there are elements x, y, z, t ∈ S such that G ∩ Gx ∩ Gy ∩ Gz ∩ Gt = 1.
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About the authors
A. A. Baikalov
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: anton188@bk.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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