Intersection of Conjugate Solvable Subgroups in Symmetric Groups

A. A. Baikalov

doi:10.1007/s10469-017-9431-z

Intersection of Conjugate Solvable Subgroups in Symmetric Groups

A. A. Baikalov

Механико-математический факультет

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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 ∩ G^x ∩ G^y ∩ G^z ∩ G^t = 1.

Язык оригинала	английский
Страницы (с-по)	87-97
Число страниц	11
Журнал	Algebra and Logic
Том	56
Номер выпуска	2
DOI	https://doi.org/10.1007/s10469-017-9431-z
Состояние	Опубликовано - 1 мая 2017

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10.1007/s10469-017-9431-z

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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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author = "Baikalov, {A. A.}",

year = "2017",

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doi = "10.1007/s10469-017-9431-z",

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AU - Baikalov, A. A.

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AB - 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.

KW - almost simple group

KW - solvable group

KW - symmetric group

KW - BASE SIZES

UR - http://www.scopus.com/inward/record.url?scp=85022220517&partnerID=8YFLogxK

U2 - 10.1007/s10469-017-9431-z

DO - 10.1007/s10469-017-9431-z

M3 - Article

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VL - 56

SP - 87

EP - 97

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

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ER -

Intersection of Conjugate Solvable Subgroups in Symmetric Groups

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