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

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

4 Citations (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.

Original language	English
Pages (from-to)	501-507
Number of pages	7
Journal	Archiv der Mathematik
Volume	99
DOIs	https://doi.org/10.1007/s00013-012-0465-0
Publication status	Published - 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",

language = "English",

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pages = "501--507",

journal = "Archiv der Mathematik",

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T1 - Coprime commutators in PSL(2, q)

AU - Pellegrini, Marco Antonio

AU - Shumyatsky, Pavel

PY - 2012

Y1 - 2012

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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