Products of derangements in simple permutation groups

Michael Larsen; Aner Shalev; Pham Huu Tiep

doi:10.1017/fms.2022.69

Products of derangements in simple permutation groups

Michael Larsen
, Aner Shalev
, Pham Huu Tiep

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

We prove that any element in a sufficiently large transitive finite simple permutation group is a product of two derangements.

Original language	English
Article number	e83
Journal	Forum of Mathematics, Sigma
Volume	10
DOIs	https://doi.org/10.1017/fms.2022.69
State	Published - 23 Sep 2022

Bibliographical note

Publisher Copyright:
© The Author(s), 2022. Published by Cambridge University Press.

Access to Document

10.1017/fms.2022.69

Cite this

@article{0f4753f5b4c4493abf73cd5666dcb50e,

title = "Products of derangements in simple permutation groups",

abstract = "We prove that any element in a sufficiently large transitive finite simple permutation group is a product of two derangements.",

author = "Michael Larsen and Aner Shalev and Tiep, \{Pham Huu\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press.",

year = "2022",

month = sep,

day = "23",

doi = "10.1017/fms.2022.69",

language = "אנגלית",

volume = "10",

journal = "Forum of Mathematics, Sigma",

issn = "2050-5094",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Products of derangements in simple permutation groups

AU - Larsen, Michael

AU - Shalev, Aner

AU - Tiep, Pham Huu

PY - 2022/9/23

Y1 - 2022/9/23

N2 - We prove that any element in a sufficiently large transitive finite simple permutation group is a product of two derangements.

AB - We prove that any element in a sufficiently large transitive finite simple permutation group is a product of two derangements.

UR - https://www.scopus.com/pages/publications/85140216846

U2 - 10.1017/fms.2022.69

DO - 10.1017/fms.2022.69

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85140216846

SN - 2050-5094

VL - 10

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

M1 - e83

ER -

Products of derangements in simple permutation groups

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this