FINITE ZASSENHAUS MOUFANG SETS WITH ROOT GROUPS OF EVEN ORDER

DOI10.1142/S0219199711004506zbMath1246.20035arXiv1011.5836OpenAlexW2137385087MaRDI QIDQ3110880

Matthias Grüninger, Barbara Baumeister

Publication date: 16 January 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5836

zbMATH Keywords

Suzuki groupstransitive permutation groupsMoufang setsroot groupssplit BN-pairsZassenhaus groups

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Simple groups: alternating groups and groups of Lie type (20D06) Groups with a (BN)-pair; buildings (20E42) Multiply transitive finite groups (20B20)

Related Items (1)

Cubic Action of a Rank one Group

Cites Work

• Special Moufang sets with Abelian Hua subgroup.
• Moufang sets and Jordan division algebras
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• Finite groups with a split BN-pair of rank 1. I
• On a class of doubly transitive groups. II
• Moufang lines defined by (generalized) Suzuki groups
• Proper Moufang sets with abelian root groups are special
• FINITE SPECIAL MOUFANG SETS OF EVEN CHARACTERISTIC
• FINITE SPECIAL MOUFANG SETS OF ODD CHARACTERISTIC
• Identities in Moufang sets
• Special Moufang sets, their root groups and their μ-maps
• Endliche Gruppen I

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