SPARSE, THIN AND OTHER SUBSETS OF GROUPS

DOI10.1142/S0218196709005135zbMath1186.20024MaRDI QIDQ3637971

Ie. Lutsenko, Igor Vladimirov Protasov

Publication date: 14 July 2009

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

large subsetssmall subsetsthin subsetsStone-Čech compactifications of discrete groupsBoolean group idealssmall sets of generatorssparse subsets of groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Generators, relations, and presentations of groups (20F05) Topological groups (topological aspects) (54H11) Stone spaces (Boolean spaces) and related structures (06E15) Means on groups, semigroups, etc.; amenable groups (43A07) Axiomatics and elementary properties of groups (20A05)

Related Items (18)

The dynamical look at the subsets of a group ⋮ Orbitally discrete coarse spaces ⋮ Null-finite sets in topological groups and their applications ⋮ Scattered subsets of groups ⋮ Preservation and reflection of size properties of balleans ⋮ Around $P$-small subsets of groups ⋮ Thin subsets of topological groups ⋮ Selective survey on subset combinatorics of groups. ⋮ Descriptive complexity of the sizes of subsets of groups ⋮ Thin subsets of groups. ⋮ Thin ultrafilters ⋮ Algebraically determined topologies on permutation groups. ⋮ Ideals in \(\mathcal{P}_G\) and \(\beta G\) ⋮ The combinatorial derivation and its inverse mapping. ⋮ Recent progress in subset combinatorics of groups ⋮ On thin-complete ideals of subsets of groups. ⋮ Relatively thin and sparse subsets of groups. ⋮ Small subsets of groups.

Cites Work

• Unnamed Item
• Some minimal group topologies are precompact
• On closed ideals of \(\beta G\)
• Every infinite group can be generated by P-small subset
• WEAKLY P-SMALL NOT P-SMALL SUBSETS IN GROUPS
• Large and small sets with respect to homomorphisms and products of groups

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