The Herzog–Schönheim conjecture for finitely generated groups

DOI10.1142/S0218196719500425zbMath1468.20055arXiv1803.08301OpenAlexW2964301264WikidataQ123097242 ScholiaQ123097242MaRDI QIDQ5237448

Fabienne Chouraqui

Publication date: 18 October 2019

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

Full work available at URL: https://arxiv.org/abs/1803.08301

zbMATH Keywords

free groupscovering spacesHerzog-Schönheim conjectureSchreier coset automaton

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (4)

An Approach to the Herzog-Schönheim Conjecture Using Automata ⋮ About an extension of the Davenport-Rado result to the Herzog-Schonheim conjecture for free groups ⋮ Herzog–Schönheim conjecture, vanishing sums of roots of Unity and convex polygons ⋮ A list of applications of Stallings automata

Cites Work

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• Tile the group
• Submultiplicativity and the Hanna Neumann conjecture.
• Topology of finite graphs
• Intersections of finitely generated subgroups of free groups and resolutions of graphs
• Lattice parallelotopes and disjoint covering systems
• A first course in group theory
• On the intersection of subgroups of a free group
• On vanishing sums of roots of unity.
• The Herzog-Schönheim conjecture for small groups and harmonic subgroups
• Roots of unity and covering sets
• Finite Coverings by Normal Subgroups
• Covering systems and generating functions
• The Herzog-Schönheim Conjecture for Finite Nilpotent Groups
• FINITE COVERS OF GROUPS BY COSETS OR SUBGROUPS
• Intersections of finitely generated free groups
• Groups covered by finitely many cosets or subgroups
• Remark on the multiplicity of a partition of a group into cosets
• Covering the integers by arithmetic sequences. II
• Natural exactly covering systems of congruences
• Disjoint Covering Systems
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture: with an Appendix by Warren Dicks
• The probability of generating the symmetric group

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