Matches in SemOpenAlex for { <https://semopenalex.org/work/W2997156507> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2997156507 endingPage "77" @default.
- W2997156507 startingPage "45" @default.
- W2997156507 abstract "Given a finite group G and two unitary G-representations V and W, possible restrictions on topological degrees of equivariant maps between representation spheres S(V) and S(W) are usually expressed in a form of congruences modulo the greatest common divisor of lengths of orbits in S(V) (denoted by α(V)). Effective applications of these congruences is limited by answers to the following questions: (i) under which conditions, is α(V)>1? and (ii) does there exist an equivariant map with the degree easy to calculate? In the present paper, we address both questions. We show that α(V)>1 for each irreducible non-trivial C[G]-module if and only if G is solvable. This provides a new solvability criterion for finite groups. For non-solvable groups, we use 2-transitive actions to construct complex representations with non-trivial α-characteristic. Regarding the second question, we suggest a class of Norton algebras without 2-nilpotents giving rise to equivariant quadratic maps, which admit an explicit formula for the degree." @default.
- W2997156507 created "2020-01-10" @default.
- W2997156507 creator A5017516419 @default.
- W2997156507 creator A5041296673 @default.
- W2997156507 creator A5089613003 @default.
- W2997156507 date "2020-05-01" @default.
- W2997156507 modified "2023-09-27" @default.
- W2997156507 title "On algebraic problems behind the Brouwer degree of equivariant maps" @default.
- W2997156507 cites W143088820 @default.
- W2997156507 cites W1885124634 @default.
- W2997156507 cites W1976153526 @default.
- W2997156507 cites W2000439528 @default.
- W2997156507 cites W2005533383 @default.
- W2997156507 cites W2025259682 @default.
- W2997156507 cites W2031816828 @default.
- W2997156507 cites W2053851519 @default.
- W2997156507 cites W2054915962 @default.
- W2997156507 cites W2078808548 @default.
- W2997156507 cites W2106779048 @default.
- W2997156507 cites W2120621735 @default.
- W2997156507 cites W2125615295 @default.
- W2997156507 cites W2963579920 @default.
- W2997156507 cites W3022512113 @default.
- W2997156507 cites W373666735 @default.
- W2997156507 cites W4244828375 @default.
- W2997156507 cites W934230699 @default.
- W2997156507 doi "https://doi.org/10.1016/j.jalgebra.2019.12.009" @default.
- W2997156507 hasPublicationYear "2020" @default.
- W2997156507 type Work @default.
- W2997156507 sameAs 2997156507 @default.
- W2997156507 citedByCount "1" @default.
- W2997156507 countsByYear W29971565072023 @default.
- W2997156507 crossrefType "journal-article" @default.
- W2997156507 hasAuthorship W2997156507A5017516419 @default.
- W2997156507 hasAuthorship W2997156507A5041296673 @default.
- W2997156507 hasAuthorship W2997156507A5089613003 @default.
- W2997156507 hasBestOaLocation W29971565071 @default.
- W2997156507 hasConcept C114614502 @default.
- W2997156507 hasConcept C118615104 @default.
- W2997156507 hasConcept C121332964 @default.
- W2997156507 hasConcept C171036898 @default.
- W2997156507 hasConcept C17744445 @default.
- W2997156507 hasConcept C199539241 @default.
- W2997156507 hasConcept C202444582 @default.
- W2997156507 hasConcept C203492994 @default.
- W2997156507 hasConcept C24890656 @default.
- W2997156507 hasConcept C2775997480 @default.
- W2997156507 hasConcept C33923547 @default.
- W2997156507 hasConcept C54732982 @default.
- W2997156507 hasConcept C67820243 @default.
- W2997156507 hasConcept C9973445 @default.
- W2997156507 hasConceptScore W2997156507C114614502 @default.
- W2997156507 hasConceptScore W2997156507C118615104 @default.
- W2997156507 hasConceptScore W2997156507C121332964 @default.
- W2997156507 hasConceptScore W2997156507C171036898 @default.
- W2997156507 hasConceptScore W2997156507C17744445 @default.
- W2997156507 hasConceptScore W2997156507C199539241 @default.
- W2997156507 hasConceptScore W2997156507C202444582 @default.
- W2997156507 hasConceptScore W2997156507C203492994 @default.
- W2997156507 hasConceptScore W2997156507C24890656 @default.
- W2997156507 hasConceptScore W2997156507C2775997480 @default.
- W2997156507 hasConceptScore W2997156507C33923547 @default.
- W2997156507 hasConceptScore W2997156507C54732982 @default.
- W2997156507 hasConceptScore W2997156507C67820243 @default.
- W2997156507 hasConceptScore W2997156507C9973445 @default.
- W2997156507 hasFunder F4320306076 @default.
- W2997156507 hasLocation W29971565071 @default.
- W2997156507 hasOpenAccess W2997156507 @default.
- W2997156507 hasPrimaryLocation W29971565071 @default.
- W2997156507 hasRelatedWork W2001268273 @default.
- W2997156507 hasRelatedWork W2063132333 @default.
- W2997156507 hasRelatedWork W2083261941 @default.
- W2997156507 hasRelatedWork W2320757018 @default.
- W2997156507 hasRelatedWork W2593631943 @default.
- W2997156507 hasRelatedWork W2766222296 @default.
- W2997156507 hasRelatedWork W2963854314 @default.
- W2997156507 hasRelatedWork W3200122372 @default.
- W2997156507 hasRelatedWork W4226498235 @default.
- W2997156507 hasRelatedWork W1970258208 @default.
- W2997156507 hasVolume "549" @default.
- W2997156507 isParatext "false" @default.
- W2997156507 isRetracted "false" @default.
- W2997156507 magId "2997156507" @default.
- W2997156507 workType "article" @default.