Partitions and other coverings of finite groups.

zbMath1033.20018MaRDI QIDQ1409634

Guido Zappa

Publication date: 16 October 2003

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

zbMATH Keywords

Frobenius groupsgroups of Lie type\(p\)-groupsgroup coveringsgroup partitions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (21)

Groups that have a partition by commuting subsets ⋮ Characterizations of some groups in terms of centralizers ⋮ Counting centralizers and z-classes of some F-groups ⋮ On the planarity of cyclic graphs ⋮ Equal quasi-partition of \(p\)-groups. ⋮ Factorization number and subgroup commutativity degree via spectral invariants ⋮ Minimal partition-free groups ⋮ Group partitions of minimal size ⋮ Matroid lifts and representability ⋮ On capable groups of order p2q ⋮ Graphs, partitions and classes of groups. ⋮ Some results on the partition of groups. ⋮ Weighted external difference families and R-optimal AMD codes ⋮ On power graphs of finite groups with forbidden induced subgraphs ⋮ Rings and covered groups. ⋮ The structure of the minimum size supertail of a subspace partition ⋮ Sharp covering of a module by cyclic submodules ⋮ Characterising bimodal collections of sets in finite groups ⋮ Equidistant permutation group codes ⋮ Internal and external partial difference families and cyclotomy ⋮ Characterizing Translations on Groups by Cosets of Their Subgroups

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