A property of groups and the Cauchy–Davenport theorem

DOI10.1515/JGT.2009.027zbMath1195.20028OpenAlexW1969581105MaRDI QIDQ3406630

Sergei V. Ivanov

Publication date: 19 February 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2009.027

zbMATH Keywords

locally indicable groupsreduced ranksCauchy-Davenport inequalityright orderable groups\varkappa)\) propertycombinatorial conditions on finite subsetsfactor-free subgroups of free groupsgroups with \(C(dintersection of subgroups in free products of groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Other combinatorial number theory (11B75) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

Intersecting free subgroups in free products of left ordered groups, On a conjecture of Imrich and Müller, An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

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