FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024606447> ?p ?o ?g. }

• W2024606447 endingPage "269" @default.
• W2024606447 startingPage "256" @default.
• W2024606447 abstract "In this paper we examine collineation groups which contain homologies of finite projective spaces. The first two theorems give minimal conditions for a collineation group containing homologies of a finite desarguesian projective space to contain its little projective group. In Theorem 1 we prove that if fl is a collineation group generated by some homologies of a finite desarguesian projective space Hk such that (a) no subspace of Hk is left fixed by Ii’ and (b) some hyperplane is the axis of homologies in 17 for more than one center, then D contains the little projective group of Hk . Then, as a consequence of Theorem 2, we show that for finite desarguesian projective planes conditions (a) and (b) are sufficient for 17 to contain the little projective group. However, for It > 3, it is definitely necessary to assume that Ii’ is generated by the homologies. In Theorem 3 we show that if H, is a finite projective plane (not necessarily desarguesian) and if Ii’ is a collineation group of H2 fixing no point or line such that (a) some line 8 is the axis of homologies in 17 for more than one center and (b) some point P EL’is the center of a homology in n, then all the centers and axes of the homologies in 17 form a desarguesian subplane, Hi say, of H, and 17 restricted to Hi contains its little projective group. ‘rhis result agrees with the result for desarguesian planes and, hence, is the best possible. Finally in Theorem 4 we examine the possibilities for 17 when every point of Hk is the center of a homology in II. We prove, almost as a corollary to Theorems 1 and 3, that if no subspace is left fixed by Ll, then Hk is desarguesian and 17 contains its little projective group." @default.
• W2024606447 created "2016-06-24" @default.
• W2024606447 creator A5010574605 @default.
• W2024606447 date "1967-06-01" @default.
• W2024606447 modified "2023-09-29" @default.
• W2024606447 title "Collineation groups containing homologies" @default.
• W2024606447 cites W10712588 @default.
• W2024606447 cites W2008984920 @default.
• W2024606447 cites W2009501079 @default.
• W2024606447 cites W2029084901 @default.
• W2024606447 cites W2041727800 @default.
• W2024606447 cites W2045740165 @default.
• W2024606447 cites W2057253079 @default.
• W2024606447 cites W2284405025 @default.
• W2024606447 cites W2313978960 @default.
• W2024606447 cites W2316033594 @default.
• W2024606447 cites W2325031472 @default.
• W2024606447 cites W2327283878 @default.
• W2024606447 cites W3038974689 @default.
• W2024606447 doi "https://doi.org/10.1016/0021-8693(67)90007-5" @default.
• W2024606447 hasPublicationYear "1967" @default.
• W2024606447 type Work @default.
• W2024606447 sameAs 2024606447 @default.
• W2024606447 citedByCount "13" @default.
• W2024606447 crossrefType "journal-article" @default.
• W2024606447 hasAuthorship W2024606447A5010574605 @default.
• W2024606447 hasBestOaLocation W20246064471 @default.
• W2024606447 hasConcept C114614502 @default.
• W2024606447 hasConcept C163434512 @default.
• W2024606447 hasConcept C177846678 @default.
• W2024606447 hasConcept C202444582 @default.
• W2024606447 hasConcept C33923547 @default.
• W2024606447 hasConcept C75280867 @default.
• W2024606447 hasConceptScore W2024606447C114614502 @default.
• W2024606447 hasConceptScore W2024606447C163434512 @default.
• W2024606447 hasConceptScore W2024606447C177846678 @default.
• W2024606447 hasConceptScore W2024606447C202444582 @default.
• W2024606447 hasConceptScore W2024606447C33923547 @default.
• W2024606447 hasConceptScore W2024606447C75280867 @default.
• W2024606447 hasIssue "2" @default.
• W2024606447 hasLocation W20246064471 @default.
• W2024606447 hasOpenAccess W2024606447 @default.
• W2024606447 hasPrimaryLocation W20246064471 @default.
• W2024606447 hasRelatedWork W1978042415 @default.
• W2024606447 hasRelatedWork W1989920940 @default.
• W2024606447 hasRelatedWork W2017331178 @default.
• W2024606447 hasRelatedWork W2096753949 @default.
• W2024606447 hasRelatedWork W2260035625 @default.
• W2024606447 hasRelatedWork W2963103437 @default.
• W2024606447 hasRelatedWork W2964072617 @default.
• W2024606447 hasRelatedWork W2964292522 @default.
• W2024606447 hasRelatedWork W2976797620 @default.
• W2024606447 hasRelatedWork W3103780039 @default.
• W2024606447 hasVolume "6" @default.
• W2024606447 isParatext "false" @default.
• W2024606447 isRetracted "false" @default.
• W2024606447 magId "2024606447" @default.
• W2024606447 workType "article" @default.