TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS

Dempwolff, Ulrich; Müller, Peter

doi:info:doi/10.18910/23147

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タイトル	TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS
著者	Dempwolff, Ulrich Dempwolff, Ulrich
著者	Müller, Peter Müller, Peter
抄録	We describe a class of translation planes whose orders are of the form q^n, where n is odd and q is an odd prime power > 3. These planes have the property that a translation complement fixes a triangle and acts transitively on the set of non-vertices of each side. The planes form an odd order analogue to the planes of Kantor–Williams [17] which have even order. The construction of the planes is based on a certain type of Dembowski–Ostrom polynomials.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	3
開始ページ	771
終了ページ	794
刊行年月	2012-09
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23147
言語	英語
DOI	info:doi/10.18910/23147
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 49, Number 3　(2012-9）

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.49(3) P.771-P.794
DC.title	TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS
DC.creator	Dempwolff, Ulrich
DC.creator	Müller, Peter
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-09
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23147
DCTERMS.abstract	We describe a class of translation planes whose orders are of the form q^n, where n is odd and q is an odd prime power > 3. These planes have the property that a translation complement fixes a triangle and acts transitively on the set of non-vertices of each side. The planes form an odd order analogue to the planes of Kantor–Williams [17] which have even order. The construction of the planes is based on a certain type of Dembowski–Ostrom polynomials.
DC.identifier	info:doi/10.18910/23147
citation_title	TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS
citation_author	Dempwolff, Ulrich
citation_author	Müller, Peter
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	3
citation_firstpage	771
citation_lastpage	794
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23147
citation_doi	info:doi/10.18910/23147

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