On the dimensions of automorphism groups of four-dimensional double loops

DOI10.1007/BF02571700zbMath0809.22005MaRDI QIDQ1323419

Richard Bödi

Publication date: 29 March 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174599

zbMATH Keywords

automorphism groupsAlexander dualitycompact projective planes4-dimensional double loopscoordinatizing ternarydimensions of stabilizers

Mathematics Subject Classification ID

Automorphism groups of locally compact groups (22D45) Loops, quasigroups (20N05) Translation planes and spreads in linear incidence geometry (51A40) Other topological algebraic systems and their representations (22A30) Non-Desarguesian affine and projective planes (51A35) Topological linear incidence structures (51H10) Infinite automorphism groups (20B27) Ternary compositions (17A40) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10) Analytic geometry with other transformation groups (51N25)

Related Items (4)

Large automorphism groups of 8-dimensional projective planes are Lie groups ⋮ On the dimensions of automorphism groups of eight-dimensional ternary fields. II ⋮ Large semisimple groups on 16-dimensional compact projective planes are almost simple ⋮ Groups of compact 8-dimensional planes: conditions implying the Lie property

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Automorphism groups of locally compact connected double loops are locally compact
• Toroid transformation groups on euclidean space
• Locally homogeneous ANR-spaces
• Compact 8-dimensional projective planes with large collineation groups
• On the embedding of zero-dimensional double loops in locally Euclidean double loops
• Homogene kompakte projektive Ebenen
• Automorphismengruppen 8-dimensionaler Ternärkörper
• Topological planes
• Dimension der Bahnen lokal kompakter Gruppen
• Einige Sätze über topologische Gruppen
• On some types of topological groups
• Topology and dimension of stable planes: On a conjecture of H. Freudenthal.
• New results and old problems in finite transformation groups
• On Periodic Maps and the Euler Characteristics of Associated Spaces

This page was built for publication: On the dimensions of automorphism groups of four-dimensional double loops