Every finite solvable group with a unique element of order two, except the quaternion group, has a symmetric sequencing

DOI10.1002/jcd.3180010103zbMath0827.20035OpenAlexW2133147860MaRDI QIDQ4764682

Publication date: 3 December 1995

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.3180010103

zbMATH Keywords

finite solvable groups quaternion group partial products symmetric sequencings unique involution

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (14)

Sequencing the dihedral groups \(D_{4k}\) ⋮ On the full automorphism group of a Hamiltonian cycle system of odd order ⋮ Some progress on the existence of 1-rotational Steiner triple systems ⋮ Some \(\mathbb Z_{n+2}\) terraces from \(\mathbb Z_n\) power-sequences, \(n\) being an odd prime ⋮ Constructions for Terraces and R-Sequencings, Including a Proof That Bailey's Conjecture Holds for Abelian Groups ⋮ Regular Oberwolfach problems and group sequencings ⋮ Some new results on 1-rotational 2-factorizations of the complete graph ⋮ \(k\)-pyramidal one-factorizations ⋮ Round-dance neighbour designs from terraces ⋮ Sectionable terraces and the (generalised) Oberwolfach problem ⋮ Some Results on 1‐Rotational Hamiltonian Cycle Systems ⋮ The spectrum of group-based complete Latin squares ⋮ The structure of 2-pyramidal 2-factorizations ⋮ One–factorizations of complete graphs with regular automorphism groups

Cites Work

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