The minimal degree for a class of finite complex reflection groups

Neil J Saunders

doi:10.1016/j.jalgebra.2009.10.014

The minimal degree for a class of finite complex reflection groups

Neil J Saunders

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

Abstract

We calculate the minimal faithful permutation degree for a class of finite complex reflection groups G(p,p,q), for p and q primes, and demonstrate that they form examples where the minimal degree of a direct product is strictly less than the sum of the minimal degrees of the direct factors.

Original language	English
Pages (from-to)	561-573
Number of pages	13
Journal	Journal of Algebra
Volume	323
Issue number	3
DOIs	https://doi.org/10.1016/j.jalgebra.2009.10.014
Publication status	Published - 1 Feb 2010

Keywords

Faithful permutation representations;

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10.1016/j.jalgebra.2009.10.014

http://www.sciencedirect.com/science/article/pii/S0021869309006279

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title = "The minimal degree for a class of finite complex reflection groups",

abstract = "We calculate the minimal faithful permutation degree for a class of finite complex reflection groups G(p,p,q), for p and q primes, and demonstrate that they form examples where the minimal degree of a direct product is strictly less than the sum of the minimal degrees of the direct factors. ",

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AB - We calculate the minimal faithful permutation degree for a class of finite complex reflection groups G(p,p,q), for p and q primes, and demonstrate that they form examples where the minimal degree of a direct product is strictly less than the sum of the minimal degrees of the direct factors.

KW - Faithful permutation representations;

U2 - 10.1016/j.jalgebra.2009.10.014

DO - 10.1016/j.jalgebra.2009.10.014

M3 - Article (Academic Journal)

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VL - 323

SP - 561

EP - 573

JO - Journal of Algebra

JF - Journal of Algebra

IS - 3

ER -

The minimal degree for a class of finite complex reflection groups

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