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

The Hebrew University of Jerusalem

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

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

All Science Journal Classification (ASJC) codes

Analysis
Theoretical Computer Science
Algebra and Number Theory
Statistics and Probability
Mathematical Physics
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Mathematics

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10.1017/fms.2022.69

Cite this

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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\}",

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doi = "10.1017/fms.2022.69",

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AU - Larsen, Michael

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AU - Tiep, Pham Huu

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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.

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DO - 10.1017/fms.2022.69

M3 - مقالة

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

All Science Journal Classification (ASJC) codes

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