Skip to Main content Skip to Navigation
Conference papers

Reflection factorizations of Singer cycles

Abstract : The number of shortest factorizations into reflections for a Singer cycle in $GL_n(\mathbb{F}_q)$ is shown to be $(q^n-1)^{n-1}$. Formulas counting factorizations of any length, and counting those with reflections of fixed conjugacy classes are also given.
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/hal-01207611
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, October 1, 2015 - 9:29:15 AM
Last modification on : Thursday, May 6, 2021 - 9:44:04 AM
Long-term archiving on: : Saturday, January 2, 2016 - 10:55:44 AM

File

dmAT0127.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

J.B. Lewis, V. Reiner, D. Stanton. Reflection factorizations of Singer cycles. 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.297-308, ⟨10.46298/dmtcs.2401⟩. ⟨hal-01207611⟩

Share

Metrics

Record views

60

Files downloads

457