COUNTING THE ORBITS ON FINITE SIMPLE GROUPS UNDER THE ACTION OF THE AUTOMORPHISM GROUP – SUZUKI GROUPS VS. LINEAR GROUPS

DOI10.1081/AGB-120004501zbMath1011.20015MaRDI QIDQ3146329

Stefan Kohl

Publication date: 25 February 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

numbers of orbitsspecial linear groupsminimal simple groupsZassenhaus groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (7)

Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Finite groups with quaternion Sylow subgroup ⋮ Automorphism group orbits on finite simple groups ⋮ On 9- and 10-decomposable finite groups. ⋮ Classifying Finite Simple Groups with Respect to the Number of Orbits Under the Action of the Automorphism Group ⋮ FC-groups with finitely many automorphism orbits ⋮ Unnamed Item

Uses Software

• GAP

Cites Work

• Unnamed Item
• Classification of finite groups according to the number of conjugacy classes
• Groups that are almost homogeneous
• The conjugate classes of Chevalley groups of type \((G_2)\)
• On the computation of conjugacy classes of Chevalley groups
• Numbers of conjugacy classes in some finite classical groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• On a class of doubly transitive groups

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