Coprime commutators in PSL(2, q)

Marco Antonio Pellegrini; Pavel Shumyatsky

doi:10.1007/s00013-012-0465-0

Coprime commutators in PSL(2, q)

Marco Antonio Pellegrini
, Pavel Shumyatsky

Universidade de Brasília

Risultato della ricerca: Contributo in rivista › Articolo › peer review

4 Citazioni (Scopus)

Abstract

We show that every element of PSL(2, q) is a commutator of elements of coprime orders. This is proved by showing first that in PSL(2, q) any two involutions are conjugate by an element of odd order.

Lingua originale	Inglese
pagine (da-a)	501-507
Numero di pagine	7
Rivista	Archiv der Mathematik
Volume	99
DOI	https://doi.org/10.1007/s00013-012-0465-0
Stato di pubblicazione	Pubblicato - 2012

Keywords

Coprime commutator
Involutions

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10.1007/s00013-012-0465-0

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title = "Coprime commutators in PSL(2, q)",

abstract = "We show that every element of PSL(2, q) is a commutator of elements of coprime orders. This is proved by showing first that in PSL(2, q) any two involutions are conjugate by an element of odd order.",

keywords = "Coprime commutator, Involutions, Coprime commutator, Involutions",

author = "Pellegrini, \{Marco Antonio\} and Pavel Shumyatsky",

year = "2012",

doi = "10.1007/s00013-012-0465-0",

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AU - Pellegrini, Marco Antonio

AU - Shumyatsky, Pavel

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N2 - We show that every element of PSL(2, q) is a commutator of elements of coprime orders. This is proved by showing first that in PSL(2, q) any two involutions are conjugate by an element of odd order.

AB - We show that every element of PSL(2, q) is a commutator of elements of coprime orders. This is proved by showing first that in PSL(2, q) any two involutions are conjugate by an element of odd order.

KW - Coprime commutator

KW - Involutions

KW - Coprime commutator

KW - Involutions

UR - http://hdl.handle.net/10807/55567

U2 - 10.1007/s00013-012-0465-0

DO - 10.1007/s00013-012-0465-0

M3 - Article

SN - 0003-889X

VL - 99

SP - 501

EP - 507

JO - Archiv der Mathematik

JF - Archiv der Mathematik

ER -

Coprime commutators in PSL(2, q)

Abstract

Keywords

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