Matches in SemOpenAlex for { <https://semopenalex.org/work/W2989402080> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W2989402080 abstract "For a group $G$ generated by $Sdoteq {g_1,ldots ,g_n}$, one can construct the Cayley graph $mathrm {Cayley}({G},{S})$. Given a distance set $Dsubset mathbb Z _{geq 0}$ and $mathrm{Cayley}{G}{S}$, one can construct a $D$-neighborhood complex. This neighborhood complex is a simplicial complex to which we can associate a chain complex. Group $G$ acts on this chain complex, and this leads to an action on the homology of the chain complex. These group actions decompose into several representations of $G$. This paper uses tools from group theory, representation theory and homological algebra to further our understanding of the interplay between generated groups, corresponding representations on their associated $D$-neighborhood complexes and the homology of the $D$-neighborhood complexes. This paper is an exposition of the results in my dissertation focusing on the case of two generators." @default.
- W2989402080 created "2019-11-22" @default.
- W2989402080 creator A5086435358 @default.
- W2989402080 date "2019-10-01" @default.
- W2989402080 modified "2023-10-14" @default.
- W2989402080 title "Neighborhood complexes of Cayley graphs with generating set of size two" @default.
- W2989402080 doi "https://doi.org/10.1216/rmj-2019-49-6-1895" @default.
- W2989402080 hasPublicationYear "2019" @default.
- W2989402080 type Work @default.
- W2989402080 sameAs 2989402080 @default.
- W2989402080 citedByCount "0" @default.
- W2989402080 crossrefType "journal-article" @default.
- W2989402080 hasAuthorship W2989402080A5086435358 @default.
- W2989402080 hasConcept C104317684 @default.
- W2989402080 hasConcept C114614502 @default.
- W2989402080 hasConcept C118615104 @default.
- W2989402080 hasConcept C120204988 @default.
- W2989402080 hasConcept C132525143 @default.
- W2989402080 hasConcept C136119220 @default.
- W2989402080 hasConcept C165525559 @default.
- W2989402080 hasConcept C178790620 @default.
- W2989402080 hasConcept C18116961 @default.
- W2989402080 hasConcept C185592680 @default.
- W2989402080 hasConcept C187929450 @default.
- W2989402080 hasConcept C197273675 @default.
- W2989402080 hasConcept C202444582 @default.
- W2989402080 hasConcept C2524010 @default.
- W2989402080 hasConcept C2781311116 @default.
- W2989402080 hasConcept C33923547 @default.
- W2989402080 hasConcept C55493867 @default.
- W2989402080 hasConceptScore W2989402080C104317684 @default.
- W2989402080 hasConceptScore W2989402080C114614502 @default.
- W2989402080 hasConceptScore W2989402080C118615104 @default.
- W2989402080 hasConceptScore W2989402080C120204988 @default.
- W2989402080 hasConceptScore W2989402080C132525143 @default.
- W2989402080 hasConceptScore W2989402080C136119220 @default.
- W2989402080 hasConceptScore W2989402080C165525559 @default.
- W2989402080 hasConceptScore W2989402080C178790620 @default.
- W2989402080 hasConceptScore W2989402080C18116961 @default.
- W2989402080 hasConceptScore W2989402080C185592680 @default.
- W2989402080 hasConceptScore W2989402080C187929450 @default.
- W2989402080 hasConceptScore W2989402080C197273675 @default.
- W2989402080 hasConceptScore W2989402080C202444582 @default.
- W2989402080 hasConceptScore W2989402080C2524010 @default.
- W2989402080 hasConceptScore W2989402080C2781311116 @default.
- W2989402080 hasConceptScore W2989402080C33923547 @default.
- W2989402080 hasConceptScore W2989402080C55493867 @default.
- W2989402080 hasIssue "6" @default.
- W2989402080 hasLocation W29894020801 @default.
- W2989402080 hasOpenAccess W2989402080 @default.
- W2989402080 hasPrimaryLocation W29894020801 @default.
- W2989402080 hasRelatedWork W1518534818 @default.
- W2989402080 hasRelatedWork W1535963902 @default.
- W2989402080 hasRelatedWork W1994148577 @default.
- W2989402080 hasRelatedWork W2027653655 @default.
- W2989402080 hasRelatedWork W2087288544 @default.
- W2989402080 hasRelatedWork W2589507029 @default.
- W2989402080 hasRelatedWork W2738994342 @default.
- W2989402080 hasRelatedWork W2989402080 @default.
- W2989402080 hasRelatedWork W4210300005 @default.
- W2989402080 hasRelatedWork W4324057516 @default.
- W2989402080 hasVolume "49" @default.
- W2989402080 isParatext "false" @default.
- W2989402080 isRetracted "false" @default.
- W2989402080 magId "2989402080" @default.
- W2989402080 workType "article" @default.