Intersection of Conjugate Solvable Subgroups in Symmetric Groups

Standard

Intersection of Conjugate Solvable Subgroups in Symmetric Groups. / Baikalov, A. A.

In: Algebra and Logic, Vol. 56, No. 2, 01.05.2017, p. 87-97.

Research output: Contribution to journal › Article › peer-review

Harvard

Baikalov, AA 2017, 'Intersection of Conjugate Solvable Subgroups in Symmetric Groups', Algebra and Logic, vol. 56, no. 2, pp. 87-97. https://doi.org/10.1007/s10469-017-9431-z

APA

Baikalov, A. A. (2017). Intersection of Conjugate Solvable Subgroups in Symmetric Groups. Algebra and Logic, 56(2), 87-97. https://doi.org/10.1007/s10469-017-9431-z

Vancouver

Baikalov AA. Intersection of Conjugate Solvable Subgroups in Symmetric Groups. Algebra and Logic. 2017 May 1;56(2):87-97. doi: 10.1007/s10469-017-9431-z

Author

Baikalov, A. A. / Intersection of Conjugate Solvable Subgroups in Symmetric Groups. In: Algebra and Logic. 2017 ; Vol. 56, No. 2. pp. 87-97.

BibTeX

@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",

}

RIS

TY - JOUR

T1 - Intersection of Conjugate Solvable Subgroups in Symmetric Groups

AU - Baikalov, A. A.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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.

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

AN - SCOPUS:85022220517

VL - 56

SP - 87

EP - 97

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 2

ER -

ID: 10093867