On covering groups

DOI10.3103/S1066369X20030081zbMath1443.22007OpenAlexW3018779998MaRDI QIDQ2191883

Renat N. Gumerov

Publication date: 26 June 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x20030081

zbMATH Keywords

covering groupcovering spacetopological spacecontinuous homomorphismcompact connected groupfinite-sheeted covering mapping

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Topological groups (topological aspects) (54H11) Compact groups (22C05)

Cites Work

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• Overlays and group actions
• Weierstrass polynomials and coverings of compact groups
• Characters and coverings of compact groups
• Finite sheeted covering maps over 2-dimensional connected, compact Abelian groups
• On the structure of finite coverings of compact connected groups
• On a covering group theorem and its applications
• Limit automorphisms of the \(C^\ast\)-algebras generated by isometric representations for semigroups of rationals
• On the existence of means on solenoids
• On finite-sheeted covering mappings onto solenoids
• Covering maps over solenoids which are not covering homomorphisms
• Existence and uniqueness of group structures on covering spaces over groups
• Group structure in finite coverings of compact solenoidal groups
• A generalization of Hagopian's theorem and exponents

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