Cardinal invariants distinguishing permutation groups

DOI10.1007/s40879-016-0096-2zbMath1426.03030arXiv1506.08969OpenAlexW2963853728MaRDI QIDQ300493

Heike Mildenberger, Taras Banakh

Publication date: 28 June 2016

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08969

zbMATH Keywords

symmetric groupsembeddingsweightalternating groupspreadgroup topology\(\kappa^+\)-compatibility condition\(\sigma\)-discrete spacelinear group topology

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Cardinal characteristics of the continuum (03E17) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Related Items (3)

Zariski topology and Markov topology on groups ⋮ Absolutely closed semigroups ⋮ A note on the R_∞ property for groups FAlt(X)⩽G⩽Sym(X)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraically determined topologies on permutation groups.
• Automatic continuity of homomorphisms and fixed points on metric compacta
• Topological groups and related structures
• HFD and HFC type spaces, with applications
• The automorphism tower problem revisited
• Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology
• Partition Problems in Topology
• Set Theory
• Notes on infinite permutation groups

This page was built for publication: Cardinal invariants distinguishing permutation groups