On Hom-groups and Hom-group actions

DOI10.1007/s10114-023-2133-7arXiv2003.14193OpenAlexW3112146181MaRDI QIDQ6063332

Hong-yi Zhang, Ripan Saha, Liangyun Chen, Yao Ma, Tian Qi Feng

Publication date: 7 November 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.14193

zbMATH Keywords

isomorphismfirst Sylow theoremHom-group actionsHom-groupsHom-quotient groupsHom-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) General nonassociative rings (17A99) Axiomatics and elementary properties of groups (20A05)

Cites Work

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• \(q\)-deformation of the Virasoro algebra with central extension
• Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra.
• BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras
• Universal algebra of a Hom-Lie algebra and group-like elements
• Hom-Lie algebras and Hom-Lie groups, integration and differentiation
• Lagrange's theorem for Hom-groups
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Hom-bialgebras and comodule Hom-algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• Hom-groups, representations and homological algebra
• Yetter-Drinfeld modules for Hom-bialgebras

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