FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W16334433> ?p ?o ?g. }

• W16334433 endingPage "336" @default.
• W16334433 startingPage "312" @default.
• W16334433 abstract "Let k be a field of characteristic different from 2 and 3. Let G be a simple group of type F4 or G2 defined over k. In this paper we discuss embeddings of connected simple algebraic groups of type A1 and A2 in G in terms of the mod-2 Galois cohomological invariants attached to these groups. We prove that k-groups of type F4 (resp. G2) arising from division algebras are generated by k-subgroups of type A2 (resp. A1) (see Theorem 3.11, Theorem 4.1). We derive a necessary and sufficient condition for an Albert algebra to have zero f5 invariant (Theorem 3.4). Further, for a k-group G of type F4, we derive a condition necessary for a k-group H of type A1 or A2 to embed in G over k. We prove that in order to embed H in G over k, the mod-2 invariant of H must divide f5(G) (see Section 2 and Remark 2.8, Remark 2.3 for definition of invariants). Along similar lines, we derive a condition for a k-group H of type A2 to embed in a k-group G of type G2. We prove that H embeds in G over k, if and only if f3(H)=f3(G) (Theorem 4.4). Next we derive a necessary and sufficient condition for a k-group H of type A1 to embed in a k-group G of type G2. If G=Aut(C) is a group of type G2 over k for an octonion algebra C over k, then this condition provides a natural bijection between k-conjugacy classes of involutions in G(k) and isometry classes of 2-fold Pfister divisors of the Pfister form nC, the norm form of the octonion algebra C (Section 4, Proposition 4.2)." @default.
• W16334433 created "2016-06-24" @default.
• W16334433 creator A5043801961 @default.
• W16334433 date "2014-08-01" @default.
• W16334433 modified "2023-09-29" @default.
• W16334433 title "Invariants mod-2 and subgroups of G2 and F4" @default.
• W16334433 cites W1511683753 @default.
• W16334433 cites W1584561919 @default.
• W16334433 cites W1964754152 @default.
• W16334433 cites W1968275987 @default.
• W16334433 cites W1977420418 @default.
• W16334433 cites W2000592162 @default.
• W16334433 cites W2010096183 @default.
• W16334433 cites W2010415161 @default.
• W16334433 cites W2034565751 @default.
• W16334433 cites W2046009902 @default.
• W16334433 cites W2073477407 @default.
• W16334433 cites W2076233378 @default.
• W16334433 cites W2080721069 @default.
• W16334433 cites W2091384925 @default.
• W16334433 cites W2107420301 @default.
• W16334433 cites W2963586434 @default.
• W16334433 cites W4210837204 @default.
• W16334433 cites W4231249934 @default.
• W16334433 cites W4231847625 @default.
• W16334433 cites W4379509944 @default.
• W16334433 doi "https://doi.org/10.1016/j.jalgebra.2014.03.039" @default.
• W16334433 hasPublicationYear "2014" @default.
• W16334433 type Work @default.
• W16334433 sameAs 16334433 @default.
• W16334433 citedByCount "8" @default.
• W16334433 countsByYear W163344332014 @default.
• W16334433 countsByYear W163344332015 @default.
• W16334433 countsByYear W163344332018 @default.
• W16334433 countsByYear W163344332019 @default.
• W16334433 countsByYear W163344332020 @default.
• W16334433 crossrefType "journal-article" @default.
• W16334433 hasAuthorship W16334433A5043801961 @default.
• W16334433 hasBestOaLocation W163344331 @default.
• W16334433 hasConcept C10138342 @default.
• W16334433 hasConcept C111472728 @default.
• W16334433 hasConcept C114614502 @default.
• W16334433 hasConcept C118615104 @default.
• W16334433 hasConcept C134306372 @default.
• W16334433 hasConcept C138885662 @default.
• W16334433 hasConcept C162324750 @default.
• W16334433 hasConcept C178790620 @default.
• W16334433 hasConcept C182306322 @default.
• W16334433 hasConcept C185592680 @default.
• W16334433 hasConcept C187173678 @default.
• W16334433 hasConcept C18903297 @default.
• W16334433 hasConcept C190470478 @default.
• W16334433 hasConcept C202444582 @default.
• W16334433 hasConcept C2777299769 @default.
• W16334433 hasConcept C2777404646 @default.
• W16334433 hasConcept C2780586882 @default.
• W16334433 hasConcept C2781311116 @default.
• W16334433 hasConcept C33923547 @default.
• W16334433 hasConcept C37914503 @default.
• W16334433 hasConcept C5383885 @default.
• W16334433 hasConcept C86803240 @default.
• W16334433 hasConcept C9376300 @default.
• W16334433 hasConceptScore W16334433C10138342 @default.
• W16334433 hasConceptScore W16334433C111472728 @default.
• W16334433 hasConceptScore W16334433C114614502 @default.
• W16334433 hasConceptScore W16334433C118615104 @default.
• W16334433 hasConceptScore W16334433C134306372 @default.
• W16334433 hasConceptScore W16334433C138885662 @default.
• W16334433 hasConceptScore W16334433C162324750 @default.
• W16334433 hasConceptScore W16334433C178790620 @default.
• W16334433 hasConceptScore W16334433C182306322 @default.
• W16334433 hasConceptScore W16334433C185592680 @default.
• W16334433 hasConceptScore W16334433C187173678 @default.
• W16334433 hasConceptScore W16334433C18903297 @default.
• W16334433 hasConceptScore W16334433C190470478 @default.
• W16334433 hasConceptScore W16334433C202444582 @default.
• W16334433 hasConceptScore W16334433C2777299769 @default.
• W16334433 hasConceptScore W16334433C2777404646 @default.
• W16334433 hasConceptScore W16334433C2780586882 @default.
• W16334433 hasConceptScore W16334433C2781311116 @default.
• W16334433 hasConceptScore W16334433C33923547 @default.
• W16334433 hasConceptScore W16334433C37914503 @default.
• W16334433 hasConceptScore W16334433C5383885 @default.
• W16334433 hasConceptScore W16334433C86803240 @default.
• W16334433 hasConceptScore W16334433C9376300 @default.
• W16334433 hasFunder F4320320721 @default.
• W16334433 hasLocation W163344331 @default.
• W16334433 hasOpenAccess W16334433 @default.
• W16334433 hasPrimaryLocation W163344331 @default.
• W16334433 hasRelatedWork W2007253757 @default.
• W16334433 hasRelatedWork W2351659394 @default.
• W16334433 hasRelatedWork W2359915054 @default.
• W16334433 hasRelatedWork W2366488730 @default.
• W16334433 hasRelatedWork W2375166612 @default.
• W16334433 hasRelatedWork W2386260755 @default.
• W16334433 hasRelatedWork W2951366574 @default.
• W16334433 hasRelatedWork W2951594500 @default.
• W16334433 hasRelatedWork W4301353271 @default.

• next