Involutive groups, unique 2-divisibility, and related gyrogroup structures
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Publication:5739084
DOI10.1142/S0219498817501146zbMath1393.20032OpenAlexW2427739110MaRDI QIDQ5739084
Publication date: 2 June 2017
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498817501146
Heisenberg grouppolar decomposition\(C^\ast\)-algebrainvolutive automorphismgyrogroupClifford groupgyrotriple
General structure theorems for groups (20E34) General theory of (C^*)-algebras (46L05) Loops, quasigroups (20N05)
Related Items (6)
On Schreier graphs of gyrogroup actions ⋮ On commutator-inversion invariant groups and gyrogroup construction ⋮ On Metric Structures of Normed Gyrogroups ⋮ On generalized Heisenberg groups: the symmetric case ⋮ Parametrization of generalized Heisenberg groups ⋮ Embedding of locally compact Hausdorff topological gyrogroups in topological groups
Cites Work
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- Gyrogroup actions: a generalization of group actions
- Unit balls, Lorentz boosts, and hyperbolic geometry
- On Bruck loops of 2-power exponent.
- Möbius gyrogroups: a Clifford algebra approach.
- On Bol loops of exponent 2.
- Einstein gyrogroup as a B-loop
- On the notion of gyrogroup
- Polar decomposition of locally finite groups
- Theory of K-loops
- On the standard K-loop structure of positive invertible elements in a \(C^\ast\)-algebra
- Isomorphism theorems for gyrogroups and L-subgyrogroups.
- On twisted subgroups and Bol loops of odd order.
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Generalized gyrovector spaces and a Mazur--Ulam theorem
- Smooth Bruck loops, symmetric spaces, and nonassociative vector spaces
- Near subgroups of finite groups
- Loops and semidirect products
- The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
- Involutory decomposition of groups into twisted subgroups and subgroups
- Lagrange's Theorem for Gyrogroups and the Cauchy Property
- Gyrogroups in Projective Hyperbolic Clifford Analysis
- \(C^*\)-algebras by example
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