Cherlin's conjecture for sporadic simple groups

Francesca Dalla Volta; Nick Gill; Pablo Spiga

doi:10.2140/pjm.2018.297.47

Cherlin's conjecture for sporadic simple groups

Francesca Dalla Volta, Nick Gill, Pablo Spiga

Faculty of Computing, Engineering and Science

Research output: Contribution to journal › Article

191 Downloads (Pure)

Abstract

We prove Cherlin’s conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to a sporadic simple group.

Original language	English
Pages (from-to)	47-66
Journal	Pacific Journal of Mathematics
Volume	297
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2018.297.47
Publication status	Published - 7 Oct 2018

Keywords

group theory
sporadic groups
Cherlin's conjecture
03C13
20B15
20D08

Access to Document

10.2140/pjm.2018.297.47Licence: CC BY-NC-ND

sporadic_submitSubmitted manuscript, 308 KBLicence: CC BY-NC
revisited2018_01sporadic_submitAccepted author manuscript, 310 KBLicence: CC BY

Cite this

@article{5e13b74dc4524d97922859d9d3698253,

title = "Cherlin's conjecture for sporadic simple groups",

abstract = "We prove Cherlin{\textquoteright}s conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to a sporadic simple group.",

keywords = "group theory, sporadic groups, Cherlin's conjecture, 03C13, 20B15, 20D08",

author = "{Dalla Volta}, Francesca and Nick Gill and Pablo Spiga",

year = "2018",

month = oct,

day = "7",

doi = "10.2140/pjm.2018.297.47",

language = "English",

volume = "297",

pages = "47--66",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "1",

}

TY - JOUR

T1 - Cherlin's conjecture for sporadic simple groups

AU - Dalla Volta, Francesca

AU - Gill, Nick

AU - Spiga, Pablo

PY - 2018/10/7

Y1 - 2018/10/7

N2 - We prove Cherlin’s conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to a sporadic simple group.

AB - We prove Cherlin’s conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to a sporadic simple group.

KW - group theory

KW - sporadic groups

KW - Cherlin's conjecture

KW - 03C13

KW - 20B15

KW - 20D08

U2 - 10.2140/pjm.2018.297.47

DO - 10.2140/pjm.2018.297.47

M3 - Article

SN - 0030-8730

VL - 297

SP - 47

EP - 66

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

Cherlin's conjecture for sporadic simple groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this