DOAJ Open Access 2014

Reflection factorizations of Singer cycles

J.B. Lewis V. Reiner D. Stanton

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

J.B. Lewis

V. Reiner

D. Stanton

Format Sitasi

APA MLA BibTeX

Lewis, J., Reiner, V., Stanton, D. (2014). Reflection factorizations of Singer cycles. https://doi.org/10.46298/dmtcs.2401

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2401

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2401
Akses: Open Access ✓