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Victor Reiner from University of Minnesota

Friday, May 16, 2014 - 2:30pm
Loew Hall 113

Factoring cycles

Victor Reiner from University of Minnesota


A classic result of Hurwitz, often credited to Dénes, says that in the symmetric group on n letters, there are nn-2 ways to factor an n-cycle into n-1 transpositions. Recent joint work with J. Lewis and D. Stanton (arXiv:1308.1468) uncovered a finite field q-analogue: in the general linear group GL(Fq), there are (qn-1)n-1 ways to factor a Singer cycle into n reflections.

This talk will discuss what this means, and how to prove such things.

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