The strong symmetric genus of the finite Coxeter groups

DOI10.1515/JGT.2007.062zbMath1161.20036arXivmath/0411448MaRDI QIDQ5431958

Michael A. Jackson

Publication date: 2 January 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411448

zbMATH Keywords

automorphism groupsfinite Coxeter groupscompact Riemann surfacesstrong symmetric genera

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Compact Riemann surfaces and uniformization (30F10)

Related Items (1)

The strong symmetric genus and generalized symmetric groups G(n, 3)

Cites Work

• Classifying finite group actions on surfaces of low genus
• Finite groups acting on surfaces and the genus of a group
• The genus of \(SL_ 2(F_ q)\)
• Symmetries of Riemann surfaces with large automorphism group
• The symmetric genus of the Fischer group \(Fi_{23}\)
• The Monster is a Hurwitz group
• Some results on quotients of triangle groups
• Generators for Alternating and Symmetric Groups
• MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
• The Symmetric Genus of Sporadic Groups
• THE SYMMETRIC GENUS OF THE BABY MONSTER
• THERE IS A GROUP OF EVERY STRONG SYMMETRIC GENUS
• Groups of small strong symmetric genus
• The strong symmetric genus of the hyperoctahedral groups
• The genus of PSl2 (q).
• Subgroups of Fuchsian Groups and Finite Permutation Groups

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