Sequences in non-Abelian groups with distinct partial products

Friedlander, Richard J.

doi:10.1007/bf01836206

Cited by 13 publications

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“…In 1976 Anderson [2] showed that D 2p is sequenceable if p is a prime with a primitive root r such that 3r ≡ −1 (mod p). Also in 1976 Friedlander [53] showed that D 2p is sequenceable if p is prime and p ≡ 1 (mod 4). In 1981 Hoghton and Keedwell [63] added the groups D 2p , where p is a prime such that p ≡ 7 (mod 8) and p has a primitive root r such that 2r ≡ −1 (mod p).…”

Section: Dihedral Groupsmentioning

confidence: 99%

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Sequenceable Groups and Related Topics

Ollis

2013

Electron. J. Combin.

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In 1980, about 20 years after sequenceable groups were introduced by Gordon to construct row-complete latin squares, Keedwell published a survey of all the available results concerning sequencings. This was updated (jointly with Dénes) in 1991 and a short overview, including results about complete mappings and R-sequencings, was given in the CRC Handbook of Combinatorial Designs in 1995. In Sections 1 and 2 we give a survey of the current situation concerning sequencings, including details of the most important constructions. In Section 3 we consider some concepts closely related to sequenceable groups: R-sequencings, harmonious groups, supersequenceable groups (also known as super P-groups), terraces and the Gordon game. We also look at constructions for row-complete latin squares that do not use sequencings.

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Section: Dihedral Groupsmentioning

confidence: 99%

“…The first concept is the quotient sequencing (this concept was introduced by Friedlander [53]). Let G be a group of order pq with normal subgroup H of order q.…”

Section: Groups Of Odd Ordermentioning

confidence: 99%

Sequenceable Groups and Related Topics

Ollis

2013

Electron. J. Combin.

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Finite groups

Кондратьев¹,

Махнев²,

Starostin³

1989

J Math Sci

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The present survey is formed primarily on the basis of works reviewed in the Referativnyi Zhurnal "Matematika" during 1976-1983 and is a continuation of surveys of the same name published in 1966, 1971, 1976 in the series "Albegra, Topologiya, Geometriya" (INT). Principal attention is devoted to finite simple groups and their classification.The present survey is formed primarily on the basis of works reviewed in RZh "Matematika" during 1976-1983 and is a continuation of surveys of the same title of A. I. Kostrikin [162], So A. Chunikhin, L. A. Shemetkov [371], and V. D. Mazurov [194]. Rapid development of the theory of finite groups was observed during this period. More than 2000 papers were published and also the books [

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Reorienting regularn-gons

Gallian

Marttila

1980

Aeq. Math.

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Sequences in non-Abelian groups with distinct partial products

Cited by 13 publications

References 1 publication

Sequenceable Groups and Related Topics

Sequenceable Groups and Related Topics

Finite groups

Reorienting regularn-gons

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