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Coprime commutators in PSL(2, q).

Authors :
Pellegrini, Marco
Shumyatsky, Pavel
Source :
Archiv der Mathematik; Dec2012, Vol. 99 Issue 6, p501-507, 7p
Publication Year :
2012

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0003889X
Volume :
99
Issue :
6
Database :
Complementary Index
Journal :
Archiv der Mathematik
Publication Type :
Academic Journal
Accession number :
84364956
Full Text :
https://doi.org/10.1007/s00013-012-0465-0