TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS

Dempwolff, Ulrich; Müller, Peter

doi:https://doi.org/10.18910/23147

TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS

Dempwolff, Ulrich; Müller, Peter

Osaka Journal of Mathematics, 2012, 49(3), 771-794

アクセス数:287件（2025-07-15 06:41 集計）

固定URL: https://doi.org/10.18910/23147

閲覧可能ファイル

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm49_03_771	pdf	なし	309 KB	121	2012.11.13

論文情報

ファイル出力 EndNote Basic出力 Mendeley出力

タイトル	TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS
著者	著者名 Dempwolff, Ulrich
著者	著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(3)
ページ	771-794
刊行年月	2012-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23147
DOI	https://doi.org/10.18910/23147
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
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）

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. 2012, 49(3), p. 771-794
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2012-09
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	10.18910/23147
DC.format	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_public_url	https://hdl.handle.net/11094/23147
citation_doi_detail	10.18910/23147
citation_doi	https://doi.org/10.18910/23147

TRANSLATION PLANES OF ODD ORDER VIA DEMBOWSKI–OSTROM POLYNOMIALS

閲覧可能ファイル

論文情報

論文詳細を表示