Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386164381> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4386164381 endingPage "23" @default.
- W4386164381 startingPage "1" @default.
- W4386164381 abstract "Abstract Consider the following classes of pairs consisting of a group and a finite collection of subgroups: • $ mathcal{C}= left { (G,mathcal{H}) mid text{$mathcal{H}$ is hyperbolically embedded in $G$} right }$ • $ mathcal{D}= left { (G,mathcal{H}) mid text{the relative Dehn function of $(G,mathcal{H})$ is well-defined} right } .$ Let $G$ be a group that splits as a finite graph of groups such that each vertex group $G_v$ is assigned a finite collection of subgroups $mathcal{H}_v$ , and each edge group $G_e$ is conjugate to a subgroup of some $Hin mathcal{H}_v$ if $e$ is adjacent to $v$ . Then there is a finite collection of subgroups $mathcal{H}$ of $G$ such that 1. If each $(G_v, mathcal{H}_v)$ is in $mathcal C$ , then $(G,mathcal{H})$ is in $mathcal C$ . 2. If each $(G_v, mathcal{H}_v)$ is in $mathcal D$ , then $(G,mathcal{H})$ is in $mathcal D$ . 3. For any vertex $v$ and for any $gin G_v$ , the element $g$ is conjugate to an element in some $Qin mathcal{H}_v$ if and only if $g$ is conjugate to an element in some $Hin mathcal{H}$ . That edge groups are not assumed to be finitely generated and that they do not necessarily belong to a peripheral collection of subgroups of an adjacent vertex are the main differences between this work and previous results in the literature. The method of proof provides lower and upper bounds of the relative Dehn functions in terms of the relative Dehn functions of the vertex groups. These bounds generalize and improve analogous results in the literature." @default.
- W4386164381 created "2023-08-26" @default.
- W4386164381 creator A5004848063 @default.
- W4386164381 creator A5071318698 @default.
- W4386164381 date "2023-08-25" @default.
- W4386164381 modified "2023-09-23" @default.
- W4386164381 title "Relative Dehn functions, hyperbolically embedded subgroups and combination theorems" @default.
- W4386164381 cites W1571539704 @default.
- W4386164381 cites W1645325849 @default.
- W4386164381 cites W1664190959 @default.
- W4386164381 cites W2020685408 @default.
- W4386164381 cites W2068638265 @default.
- W4386164381 cites W2091797401 @default.
- W4386164381 cites W2107913628 @default.
- W4386164381 cites W2115539268 @default.
- W4386164381 cites W2134086356 @default.
- W4386164381 cites W2153632678 @default.
- W4386164381 cites W2158684550 @default.
- W4386164381 cites W2963176827 @default.
- W4386164381 cites W2963705236 @default.
- W4386164381 cites W3098093897 @default.
- W4386164381 cites W3102255413 @default.
- W4386164381 cites W3205770489 @default.
- W4386164381 cites W4376275023 @default.
- W4386164381 doi "https://doi.org/10.1017/s0017089523000265" @default.
- W4386164381 hasPublicationYear "2023" @default.
- W4386164381 type Work @default.
- W4386164381 citedByCount "0" @default.
- W4386164381 crossrefType "journal-article" @default.
- W4386164381 hasAuthorship W4386164381A5004848063 @default.
- W4386164381 hasAuthorship W4386164381A5071318698 @default.
- W4386164381 hasBestOaLocation W43861643811 @default.
- W4386164381 hasConcept C105515060 @default.
- W4386164381 hasConcept C114614502 @default.
- W4386164381 hasConcept C121332964 @default.
- W4386164381 hasConcept C132525143 @default.
- W4386164381 hasConcept C134306372 @default.
- W4386164381 hasConcept C197336794 @default.
- W4386164381 hasConcept C2777404646 @default.
- W4386164381 hasConcept C2781311116 @default.
- W4386164381 hasConcept C33923547 @default.
- W4386164381 hasConcept C62520636 @default.
- W4386164381 hasConcept C80899671 @default.
- W4386164381 hasConceptScore W4386164381C105515060 @default.
- W4386164381 hasConceptScore W4386164381C114614502 @default.
- W4386164381 hasConceptScore W4386164381C121332964 @default.
- W4386164381 hasConceptScore W4386164381C132525143 @default.
- W4386164381 hasConceptScore W4386164381C134306372 @default.
- W4386164381 hasConceptScore W4386164381C197336794 @default.
- W4386164381 hasConceptScore W4386164381C2777404646 @default.
- W4386164381 hasConceptScore W4386164381C2781311116 @default.
- W4386164381 hasConceptScore W4386164381C33923547 @default.
- W4386164381 hasConceptScore W4386164381C62520636 @default.
- W4386164381 hasConceptScore W4386164381C80899671 @default.
- W4386164381 hasLocation W43861643811 @default.
- W4386164381 hasOpenAccess W4386164381 @default.
- W4386164381 hasPrimaryLocation W43861643811 @default.
- W4386164381 hasRelatedWork W1719252778 @default.
- W4386164381 hasRelatedWork W2003008160 @default.
- W4386164381 hasRelatedWork W2031098440 @default.
- W4386164381 hasRelatedWork W2050009095 @default.
- W4386164381 hasRelatedWork W2466894780 @default.
- W4386164381 hasRelatedWork W2794687525 @default.
- W4386164381 hasRelatedWork W3030031513 @default.
- W4386164381 hasRelatedWork W3092119098 @default.
- W4386164381 hasRelatedWork W4307385446 @default.
- W4386164381 hasRelatedWork W922283457 @default.
- W4386164381 isParatext "false" @default.
- W4386164381 isRetracted "false" @default.
- W4386164381 workType "article" @default.