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On affine difference sets and their multipliers
http://hdl.handle.net/2298/33601
http://hdl.handle.net/2298/3360167542368-ca5f-47b9-a2e4-6dc4d431d3df
名前 / ファイル | ライセンス | アクション |
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DiscreteMath_309_8_2148-2152.pdf (113.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2015-11-19 | |||||
タイトル | ||||||
タイトル | On affine difference sets and their multipliers | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Relative difference set, Affine difference set, Multiplier | |||||
資源タイプ | ||||||
資源タイプ | journal article | |||||
著者 |
平峰, 豊
× 平峰, 豊 |
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別言語の著者 |
平峰, 豊
× 平峰, 豊 |
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内容記述 | ||||||
内容記述 | Let D be an affine difference set of order n in an abelian group G relative to a subgroup N. We denote by π(s) the set of primes dividing an integer s(>0) and set H* = H∖{ω}, where H = G/N and ω=∏_<σ∈H>σ. In this article, using D we define a map g from H to N satisfying for τ, ρ∈H*, g(τ)=g(ρ) iff {τ,τ^<−1>}={ρ,ρ^<−1>} and show that ord_<o(σ)>(m)/ord_<o(g(σ))>(m)∈{1,2} for any σ∈H* and any integer m>0 with π(m)⊂π(n). This result is a generalization of J.C. Galati's theorem on even order n([3]) and gives a new proof of a result of Arasu–Pott on the order of a multiplier modulo exp(H) ([1]Section 5). | |||||
書誌情報 |
Discrete Mathematics 巻 309, 号 8, p. 2148-2152, 発行年 2009-04-28 |
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ISSN | ||||||
収録物識別子 | 0012365X | |||||
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収録物識別子 | AA00629060 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
関連識別子 | 10.1016/j.disc.2008.04.040 | |||||
フォーマット | ||||||
内容記述 | application/pdf | |||||
形態 | ||||||
113517 bytes | ||||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
出版者 | ||||||
出版者 | Elsevier B.V. | |||||
資源タイプ | ||||||
内容記述 | 論文(Article) | |||||
資源タイプ・ローカル | ||||||
雑誌掲載論文 | ||||||
資源タイプ・NII | ||||||
Journal Article | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
01 | ||||||
URL | ||||||
内容記述 | http://www.sciencedirect.com/science/article/pii/S0012365X08002689 | |||||
コメント | ||||||
【著者所属】熊本大学教育学部 数学教育 |