Groups with a large number of large disjoint subgroups

DOI10.1016/0021-8693(87)90081-0zbMath0612.20011OpenAlexW2061706803MaRDI QIDQ1087985

Daniel E. Frohardt

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90081-0

zbMATH Keywords

Hadamard difference setsdisjoint subgroupselementary Abelian 2-group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (11)

Partial spreads over \({\mathbb{Z}}_ q\) ⋮ Existence results for translation nets. II ⋮ Constructions of large translation nets with nonabelian translation groups ⋮ Groups admitting a Kantor family and a factorized normal subgroup ⋮ Translation nets: A survey ⋮ On the existence of translation nets ⋮ Maximal partial spreads and transversal-free translation nets ⋮ On a combinatorial problem in group theory ⋮ Hadamard difference sets in groups of order 64 ⋮ Translation nets and fixed-point-free group automorphisms ⋮ Difference sets relative to disjoint subgroups

Cites Work

• Hadamard difference sets in groups of order 64
• Two addition theorems
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