The minimal dimension of a sphere with an equivariant embedding of the bouquet of \(g\) circles is \(2g-1\)

DOI10.1007/s00454-021-00300-9zbMath1490.57030arXiv2203.16830OpenAlexW3158300568MaRDI QIDQ2136847

Zhongzi Wang

Publication date: 16 May 2022

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16830

zbMATH Keywords

equivariant embeddings into spheresgroups acting on finite graphs

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Planar graphs; geometric and topological aspects of graph theory (05C10) Finite transformation groups (57S17) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (1)

Equivariant embeddings of manifolds into Euclidean spaces

Cites Work

• Unnamed Item
• Equivariant embeddings in euclidean space
• The maximum order of finite groups of outer automorphisms of free groups
• Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry
• Graphs in the 3-sphere with maximum symmetry
• Topological symmetry groups of graphs embedded in the 3-sphere
• Symmetrically Bordered Surfaces
• On large groups of symmetries of finite graphs embedded in spheres

This page was built for publication: The minimal dimension of a sphere with an equivariant embedding of the bouquet of \(g\) circles is \(2g-1\)