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arxiv: 1209.6377 · v1 · pith:UWPZGBFQnew · submitted 2012-09-27 · 🧮 math.GR

Coprime commutators in PSL(2,q)

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keywords coprimeelementcommutatorcommutatorsconjugateelementseveryfirst
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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.

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