Heisenberg groups over composition algebras

DOI10.1007/s13366-015-0276-0zbMath1368.17006OpenAlexW2185869003MaRDI QIDQ304557

Markus Johannes Stroppel, Norbert Knarr

Publication date: 25 August 2016

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-015-0276-0

zbMATH Keywords

automorphismnilpotent groupHeisenberg groupisomorphismcomposition algebraquaternionoctonionCayley algebraisotopism

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Finite nilpotent groups, (p)-groups (20D15) Composition algebras (17A75)

Related Items (2)

Heisenberg groups, semifields, and translation planes ⋮ Clifford parallelisms defined by octonions

Cites Work

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• Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras
• Polarities and planar collineations of Moufang planes
• Heisenberg groups, semifields, and translation planes
• Automorphisms of Verardi groups: small upper triangular matrices over rings.
• Quasigroups. I

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