Polar decomposition of locally finite groups

DOI10.1007/BF03323554zbMath1039.20018MaRDI QIDQ1411429

Tuval Foguel

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

transversalslocally finite groupsBruck loopspolar decompositionsK-loopsB-loops

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Loops, quasigroups (20N05)

Related Items (4)

Commutative semigroups with cancellation law: a representation theorem ⋮ \(\varGamma \)-commuting triples of positive definite matrices and midpoint equations on unitary matrices ⋮ Symmetric sets with midpoints and algebraically equivalent theories ⋮ Involutive groups, unique 2-divisibility, and related gyrogroup structures

Cites Work

• Groups with an involutory antiautomorphism and \(K\)-loops; application to space-time-world and hyperbolic geometry. I
• \(K\)-loops from classical groups over ordered fields
• On loops of odd order. II
• On loops of odd order
• Invariant volumes of compact groups
• On convexity, the Weyl group and the Iwasawa decomposition
• Near subgroups of finite groups
• Involutory decomposition of groups into twisted subgroups and subgroups
• Bol Loops
• Nets and Groups
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