Generating finite Coxeter groups with elements of the same order

DOI10.3906/MAT-2108-88zbMath1496.20067OpenAlexW4239388238WikidataQ114022791 ScholiaQ114022791MaRDI QIDQ5097737

Veronica Kelsey, Sarah B. Hart, Peter J. Rowley

Publication date: 1 September 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2108-88

zbMATH Keywords

generatorsCoxeter groupordergenerating set

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Uses Software

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Cites Work

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• The Magma algebra system. I: The user language
• Generating mapping class groups with elements of fixed finite order
• On the generation of Coxeter groups and their alternating subgroups by involutions
• ECONOMICAL GENERATING SETS FOR THE SYMMETRIC AND ALTERNATING GROUPS CONSISTING OF CYCLES OF A FIXED LENGTH
• PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE

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