FINITE COVERS OF GROUPS BY COSETS OR SUBGROUPS
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Publication:3421585
DOI10.1142/S0129167X06003813zbMath1113.20037arXivmath/0501451OpenAlexW1966279781MaRDI QIDQ3421585
Publication date: 7 February 2007
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501451
Permutations, words, matrices (05A05) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Special aspects of infinite or finite groups (20F99) Arithmetic progressions (11B25) FC-groups and their generalizations (20F24)
Related Items (10)
An Approach to the Herzog-Schönheim Conjecture Using Automata ⋮ Zero-sum problems for abelian \(p\)-groups and covers of the integers by residue classes ⋮ Covering systems in number fields ⋮ Covering modules by proper submodules ⋮ ON m-COVERS AND m-SYSTEMS ⋮ Tile the group ⋮ Herzog–Schönheim conjecture, vanishing sums of roots of Unity and convex polygons ⋮ The Herzog-Schönheim conjecture for small groups and harmonic subgroups ⋮ The Herzog–Schönheim conjecture for finitely generated groups ⋮ Sieving by large integers and covering systems of congruences
Cites Work
- On the Herzog-Schönheim conjecture for uniform covers of groups.
- On the function \(\omega(x)=| \{1\leq s\leq k:x\equiv a_s\pmod{n_s}\}| \)
- Arithmetic properties of periodic maps
- Groups covered by finitely many cosets or subgroups
- On coverings of a finite group by abelian subgroups
- On covering multiplicity
- Ideal powers in intersections of finite coverings by ideals
- Groups as the union of proper subgroups.
- Unification of zero-sum problems, subset sums and covers of ℤ
- Geometric coverings of groups and their directions
- On $n$-Sum Groups.
- Exact \(m\)-covers of groups by cosets
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