Sequenceable groups and related topics.

zbMath1081.20500MaRDI QIDQ2583305

M. A. Ollis

Publication date: 16 January 2006

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/125594

zbMATH Keywords

permutationsorthomorphismscomplete mappingsCayley tablessequenceable groupscomplete Latin squaressequencings of finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Orthogonal arrays, Latin squares, Room squares (05B15) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (23)

Coset-wise affine functions and cycle types of complete mappings ⋮ On sequences in cyclic groups with distinct partial sums ⋮ A problem on partial sums in abelian groups ⋮ Compositions and parities of complete mappings and of orthomorphisms ⋮ Weak sequenceability in cyclic groups ⋮ All group‐based latin squares possess near transversals ⋮ Some new results about a conjecture by Brian Alspach ⋮ An extension theorem for terraces. ⋮ On the asymptotic growth of bipartite graceful permutations ⋮ Some da capo directed power-sequence \(\mathbb Z _{n+1}\) terraces with \(n\) an odd prime power ⋮ Constructions for Terraces and R-Sequencings, Including a Proof That Bailey's Conjecture Holds for Abelian Groups ⋮ \(k\)-pyramidal one-factorizations ⋮ New methods to attack the Buratti-Horak-Rosa conjecture ⋮ Probabilistic and systematic coverage of consecutive test-method pairs for detecting order-dependent flaky tests ⋮ New complete Latin squares of odd order ⋮ There are infinitely many Williams squares with circular structure and order a multiple of 4 ⋮ Round-dance neighbour designs from terraces ⋮ Some Results on 1‐Rotational Hamiltonian Cycle Systems ⋮ The spectrum of group-based complete Latin squares ⋮ Unnamed Item ⋮ From graceful labellings of paths to cyclic solutions of the Oberwolfach problem ⋮ On terraces for Abelian groups. ⋮ One–factorizations of complete graphs with regular automorphism groups

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