Matches in SemOpenAlex for { <https://semopenalex.org/work/W1610332448> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W1610332448 endingPage "52" @default.
- W1610332448 startingPage "21" @default.
- W1610332448 abstract "Let G be a simple, simply-connected algebraic group defined over Fp. Given a power q=pr of p, let G(Fq)⊂G be the subgroup of Fq-rational points. Let L(λ) be the simple rational G-module of highest weight λ. In this paper we establish sufficient criteria for the restriction map in second cohomology H2(G,L(λ))→H2(G(Fq),L(λ)) to be an isomorphism. In particular, the restriction map is an isomorphism under very mild conditions on p and q provided λ is less than or equal to a fundamental dominant weight. Even when the restriction map is not an isomorphism, we are often able to describe H2(G(Fq),L(λ)) in terms of rational cohomology for G. We apply our techniques to compute H2(G(Fq),L(λ)) in a wide range of cases, and obtain new examples of nonzero second cohomology for finite groups of Lie type." @default.
- W1610332448 created "2016-06-24" @default.
- W1610332448 date "2012-06-01" @default.
- W1610332448 modified "2023-09-29" @default.
- W1610332448 title "Second cohomology for finite groups of Lie type" @default.
- W1610332448 cites W1565930783 @default.
- W1610332448 cites W1579486099 @default.
- W1610332448 cites W1594896360 @default.
- W1610332448 cites W169573128 @default.
- W1610332448 cites W171418171 @default.
- W1610332448 cites W1858642558 @default.
- W1610332448 cites W1982953013 @default.
- W1610332448 cites W1999853874 @default.
- W1610332448 cites W2020488178 @default.
- W1610332448 cites W2020948209 @default.
- W1610332448 cites W2023558248 @default.
- W1610332448 cites W2032600562 @default.
- W1610332448 cites W2059251399 @default.
- W1610332448 cites W2060147531 @default.
- W1610332448 cites W2090973400 @default.
- W1610332448 cites W2113388018 @default.
- W1610332448 cites W2115922891 @default.
- W1610332448 cites W2118021903 @default.
- W1610332448 cites W2119366337 @default.
- W1610332448 cites W2963647495 @default.
- W1610332448 doi "https://doi.org/10.1016/j.jalgebra.2012.02.028" @default.
- W1610332448 hasPublicationYear "2012" @default.
- W1610332448 type Work @default.
- W1610332448 sameAs 1610332448 @default.
- W1610332448 citedByCount "6" @default.
- W1610332448 countsByYear W16103324482012 @default.
- W1610332448 countsByYear W16103324482013 @default.
- W1610332448 countsByYear W16103324482014 @default.
- W1610332448 countsByYear W16103324482015 @default.
- W1610332448 crossrefType "journal-article" @default.
- W1610332448 hasBestOaLocation W16103324481 @default.
- W1610332448 hasConcept C111472728 @default.
- W1610332448 hasConcept C114614502 @default.
- W1610332448 hasConcept C115624301 @default.
- W1610332448 hasConcept C118615104 @default.
- W1610332448 hasConcept C134306372 @default.
- W1610332448 hasConcept C138885662 @default.
- W1610332448 hasConcept C155751095 @default.
- W1610332448 hasConcept C185592680 @default.
- W1610332448 hasConcept C187173678 @default.
- W1610332448 hasConcept C18903297 @default.
- W1610332448 hasConcept C202444582 @default.
- W1610332448 hasConcept C203436722 @default.
- W1610332448 hasConcept C2777299769 @default.
- W1610332448 hasConcept C2780586882 @default.
- W1610332448 hasConcept C33923547 @default.
- W1610332448 hasConcept C78606066 @default.
- W1610332448 hasConcept C8010536 @default.
- W1610332448 hasConcept C86803240 @default.
- W1610332448 hasConcept C9376300 @default.
- W1610332448 hasConceptScore W1610332448C111472728 @default.
- W1610332448 hasConceptScore W1610332448C114614502 @default.
- W1610332448 hasConceptScore W1610332448C115624301 @default.
- W1610332448 hasConceptScore W1610332448C118615104 @default.
- W1610332448 hasConceptScore W1610332448C134306372 @default.
- W1610332448 hasConceptScore W1610332448C138885662 @default.
- W1610332448 hasConceptScore W1610332448C155751095 @default.
- W1610332448 hasConceptScore W1610332448C185592680 @default.
- W1610332448 hasConceptScore W1610332448C187173678 @default.
- W1610332448 hasConceptScore W1610332448C18903297 @default.
- W1610332448 hasConceptScore W1610332448C202444582 @default.
- W1610332448 hasConceptScore W1610332448C203436722 @default.
- W1610332448 hasConceptScore W1610332448C2777299769 @default.
- W1610332448 hasConceptScore W1610332448C2780586882 @default.
- W1610332448 hasConceptScore W1610332448C33923547 @default.
- W1610332448 hasConceptScore W1610332448C78606066 @default.
- W1610332448 hasConceptScore W1610332448C8010536 @default.
- W1610332448 hasConceptScore W1610332448C86803240 @default.
- W1610332448 hasConceptScore W1610332448C9376300 @default.
- W1610332448 hasLocation W16103324481 @default.
- W1610332448 hasLocation W16103324482 @default.
- W1610332448 hasLocation W16103324483 @default.
- W1610332448 hasOpenAccess W1610332448 @default.
- W1610332448 hasPrimaryLocation W16103324481 @default.
- W1610332448 hasRelatedWork W149578613 @default.
- W1610332448 hasRelatedWork W1969545359 @default.
- W1610332448 hasRelatedWork W1972112806 @default.
- W1610332448 hasRelatedWork W1972410551 @default.
- W1610332448 hasRelatedWork W2038106543 @default.
- W1610332448 hasRelatedWork W2039448312 @default.
- W1610332448 hasRelatedWork W2047238270 @default.
- W1610332448 hasRelatedWork W2066495316 @default.
- W1610332448 hasRelatedWork W3195481900 @default.
- W1610332448 hasRelatedWork W4251391761 @default.
- W1610332448 hasVolume "360" @default.
- W1610332448 isParatext "false" @default.
- W1610332448 isRetracted "false" @default.
- W1610332448 magId "1610332448" @default.
- W1610332448 workType "article" @default.