Groups that are almost homogeneous

DOI10.1023/A:1005090519480zbMath0890.20025OpenAlexW1525743940MaRDI QIDQ1376479

Helmut Mäurer, Markus Johannes Stroppel

Publication date: 12 May 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005090519480

zbMATH Keywords

nilpotent groupsautomorphisms of groupsHeisenberg groupsadditive groups of vector spacesalmost homogeneous groupssolvable torsion groupsSuzuki \(2\)-groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) General structure theorems for groups (20E34) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Infinite automorphism groups (20B27)

Related Items (9)

Virtually nilpotent groups with finitely many orbits under automorphisms ⋮ Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Polarities and planar collineations of Moufang planes ⋮ Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras ⋮ Soluble groups with few orbits under automorphisms ⋮ On diverse forms of homogeneity of Lie algebras ⋮ FC-groups with finitely many automorphism orbits ⋮ Finding representatives for the orbits under the automorphism group of a bounded Abelian group ⋮ COUNTING THE ORBITS ON FINITE SIMPLE GROUPS UNDER THE ACTION OF THE AUTOMORPHISM GROUP – SUZUKI GROUPS VS. LINEAR GROUPS

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