Matches in SemOpenAlex for { <https://semopenalex.org/work/W4296787811> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W4296787811 abstract "Let R be a (unital) commutative ring, and G be a finite group with order invertible in R. We introduce new idempotents in the double Burnside algebra RB(G,G), indexed by conjugacy classes of minimal sections of G, i.e. pairs (T,S) of subgroups of G, where S is a normal subgroup of T contained in the Frattini subgroup of T. These idempotents are orthogonal, and their sum is equal to the identity. It follows that for any biset functor F over R, the evaluation F (G) splits as a direct sum of specific R-modules indexed by minimal sections of G, up to conjugation. The restriction of these constructions to the biset category of p-groups, where p is a prime number invertible in R, leads to a decomposition of the category of p-biset functors over R as a direct product of categories F_L indexed by atoric p-groups L up to isomorphism. We next introduce the notions of L-enriched biset and L-enriched biset functor for an arbitrary finite group L, and show that for an atoric p-group L, the category F_L is equivalent to the category of L-enriched biset functors defined over elementary abelian p-groups. Finally, the notion of vertex of an indecomposable p-biset functor is introduced (when p is invertible in R), and, when R is a field of characteristic different from p, the objects of the category F_L are characterized in terms of vertices of their composition factors." @default.
- W4296787811 created "2022-09-23" @default.
- W4296787811 creator A5009149138 @default.
- W4296787811 date "2016-08-29" @default.
- W4296787811 modified "2023-10-16" @default.
- W4296787811 title "Idempotents of double Burnside algebras, L-enriched bisets, and decomposition of p-biset functors" @default.
- W4296787811 doi "https://doi.org/10.48550/arxiv.1608.07927" @default.
- W4296787811 hasPublicationYear "2016" @default.
- W4296787811 type Work @default.
- W4296787811 citedByCount "0" @default.
- W4296787811 crossrefType "posted-content" @default.
- W4296787811 hasAuthorship W4296787811A5009149138 @default.
- W4296787811 hasBestOaLocation W42967878111 @default.
- W4296787811 hasConcept C114614502 @default.
- W4296787811 hasConcept C115624301 @default.
- W4296787811 hasConcept C156772000 @default.
- W4296787811 hasConcept C157480366 @default.
- W4296787811 hasConcept C178790620 @default.
- W4296787811 hasConcept C185592680 @default.
- W4296787811 hasConcept C202444582 @default.
- W4296787811 hasConcept C203436722 @default.
- W4296787811 hasConcept C2777404646 @default.
- W4296787811 hasConcept C2781311116 @default.
- W4296787811 hasConcept C33923547 @default.
- W4296787811 hasConcept C8010536 @default.
- W4296787811 hasConcept C87945829 @default.
- W4296787811 hasConcept C96442724 @default.
- W4296787811 hasConceptScore W4296787811C114614502 @default.
- W4296787811 hasConceptScore W4296787811C115624301 @default.
- W4296787811 hasConceptScore W4296787811C156772000 @default.
- W4296787811 hasConceptScore W4296787811C157480366 @default.
- W4296787811 hasConceptScore W4296787811C178790620 @default.
- W4296787811 hasConceptScore W4296787811C185592680 @default.
- W4296787811 hasConceptScore W4296787811C202444582 @default.
- W4296787811 hasConceptScore W4296787811C203436722 @default.
- W4296787811 hasConceptScore W4296787811C2777404646 @default.
- W4296787811 hasConceptScore W4296787811C2781311116 @default.
- W4296787811 hasConceptScore W4296787811C33923547 @default.
- W4296787811 hasConceptScore W4296787811C8010536 @default.
- W4296787811 hasConceptScore W4296787811C87945829 @default.
- W4296787811 hasConceptScore W4296787811C96442724 @default.
- W4296787811 hasLocation W42967878111 @default.
- W4296787811 hasLocation W42967878112 @default.
- W4296787811 hasLocation W42967878113 @default.
- W4296787811 hasLocation W42967878114 @default.
- W4296787811 hasOpenAccess W4296787811 @default.
- W4296787811 hasPrimaryLocation W42967878111 @default.
- W4296787811 hasRelatedWork W1723454184 @default.
- W4296787811 hasRelatedWork W2081052081 @default.
- W4296787811 hasRelatedWork W2208594917 @default.
- W4296787811 hasRelatedWork W2521777684 @default.
- W4296787811 hasRelatedWork W2963474058 @default.
- W4296787811 hasRelatedWork W2963756498 @default.
- W4296787811 hasRelatedWork W3098212812 @default.
- W4296787811 hasRelatedWork W4296787811 @default.
- W4296787811 hasRelatedWork W4297999546 @default.
- W4296787811 hasRelatedWork W624989006 @default.
- W4296787811 isParatext "false" @default.
- W4296787811 isRetracted "false" @default.
- W4296787811 workType "article" @default.