Topological Right Gyrogroups and Gyrotransversals

DOI10.1080/00927872.2012.690467zbMath1279.22005OpenAlexW2044872284MaRDI QIDQ2848518

Akhilesh Yadav, Ramji Lal

Publication date: 26 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.690467

zbMATH Keywords

Hausdorff topological groupright loopright transversalright gyrogroup

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Loops, quasigroups (20N05) General properties and structure of locally compact groups (22D05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Topological and differentiable algebraic systems (22A99)

Related Items (8)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Novel Tools to Determine Hyperbolic Triangle Centers ⋮ Public key exchange using right transversals and right loops ⋮ Generalized right near domains and sharply 2-transitive groups ⋮ Topological gyrogroups: generalization of topological groups ⋮ Twisted Automorphisms and Twisted Right Gyrogroups ⋮ Classifying gyrotransversals in groups ⋮ Harmonic analysis on the Möbius gyrogroup

Cites Work

• On the non-existence of elements of Hopf invariant one
• Transversals in non-discrete groups
• Transformation groups
• Theory of K-loops
• Strong near subgroups and left gyrogroups
• Transversals in groups
• Existence of Borel transversals in groups
• Involutory decomposition of groups into twisted subgroups and subgroups
• Twisted Automorphisms and Twisted Right Gyrogroups
• Topologies for Homeomorphism Groups

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