@article{0a4e9b3bd8564b3e918ba4975119419c,
title = "Intersection of Conjugate Solvable Subgroups in Symmetric Groups",
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.",
keywords = "almost simple group, solvable group, symmetric group, BASE SIZES",
author = "Baikalov, {A. A.}",
note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC.",
year = "2017",
month = may,
day = "1",
doi = "10.1007/s10469-017-9431-z",
language = "English",
volume = "56",
pages = "87--97",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "2",
}