Simple abelian quadruple systems

Akihiro Munemasa; Masanori Sawa

doi:10.1016/j.jcta.2007.01.002

Simple abelian quadruple systems

Akihiro Munemasa, Masanori Sawa

INF - Computer and Mathematical Sciences

Nagoya University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We generalize a construction of simple cyclic 3-designs due to Köhler (1981) to that of simple abelian 3-designs. We prove that for any abelian group A of order v ≡ 2 (mod 4), there exists a simple 3-(v, 4, 3) design with A ⋊ Aut (A) as an automorphism group.

Original language	English
Pages (from-to)	1160-1164
Number of pages	5
Journal	Journal of Combinatorial Theory - Series A
Volume	114
Issue number	6
DOIs	https://doi.org/10.1016/j.jcta.2007.01.002
Publication status	Published - 2007 Aug

Keywords

Automorphism group
Design
Difference family
Simplicity

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10.1016/j.jcta.2007.01.002

Cite this

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title = "Simple abelian quadruple systems",

abstract = "We generalize a construction of simple cyclic 3-designs due to K{\"o}hler (1981) to that of simple abelian 3-designs. We prove that for any abelian group A of order v ≡ 2 (mod 4), there exists a simple 3-(v, 4, 3) design with A ⋊ Aut (A) as an automorphism group.",

keywords = "Automorphism group, Design, Difference family, Simplicity",

author = "Akihiro Munemasa and Masanori Sawa",

year = "2007",

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doi = "10.1016/j.jcta.2007.01.002",

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AU - Sawa, Masanori

PY - 2007/8

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AB - We generalize a construction of simple cyclic 3-designs due to Köhler (1981) to that of simple abelian 3-designs. We prove that for any abelian group A of order v ≡ 2 (mod 4), there exists a simple 3-(v, 4, 3) design with A ⋊ Aut (A) as an automorphism group.

KW - Automorphism group

KW - Design

KW - Difference family

KW - Simplicity

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SP - 1160

EP - 1164

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

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ER -

Simple abelian quadruple systems

Abstract

Keywords

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