Matches in SemOpenAlex for { <https://semopenalex.org/work/W2794463064> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2794463064 abstract "Let $K$ be an algebraic function field of one variable with constant field $k$ and let $C$ be the Dedekind domain consisting of all those elements of $K$ which are integral outside a fixed place $infty$ of $K$. When $k$ is finite the group $GL_2(C)$ plays a central role in the theory of Drinfeld modular curves analagous to that played by $SL_2(Z)$ in the classical theory of modular forms. When $k$ is finite (resp. infinite) we refer to a group $GL_2(C)$ as an arithmetic (resp. non-arithmetic) Drinfeld modular group. Associated with $GL_2(C)$ is its Bruhat-Tits tree, $T$. The structure of the group is derived from that of the quotient graph $GL_2(C)backslash T$. Using an elementary approach which refers explicitly to matrices we determine the structure of all the vertex stabilizers of $T$. This extends results of Serre, Takahashi and the authors. We also determine all possible valencies of the vertices of $GL_2(C)backslash T$ for the important special case where $infty$ has degree 1." @default.
- W2794463064 created "2018-04-06" @default.
- W2794463064 creator A5057802681 @default.
- W2794463064 creator A5088221749 @default.
- W2794463064 date "2012-03-16" @default.
- W2794463064 modified "2023-09-22" @default.
- W2794463064 title "The vertex stabilizers of the Bruhat-Tits tree of a Drinfeld modular group" @default.
- W2794463064 hasPublicationYear "2012" @default.
- W2794463064 type Work @default.
- W2794463064 sameAs 2794463064 @default.
- W2794463064 citedByCount "0" @default.
- W2794463064 crossrefType "posted-content" @default.
- W2794463064 hasAuthorship W2794463064A5057802681 @default.
- W2794463064 hasAuthorship W2794463064A5088221749 @default.
- W2794463064 hasConcept C113174947 @default.
- W2794463064 hasConcept C114614502 @default.
- W2794463064 hasConcept C121332964 @default.
- W2794463064 hasConcept C132525143 @default.
- W2794463064 hasConcept C134306372 @default.
- W2794463064 hasConcept C181633103 @default.
- W2794463064 hasConcept C199422724 @default.
- W2794463064 hasConcept C202444582 @default.
- W2794463064 hasConcept C2780345915 @default.
- W2794463064 hasConcept C2781311116 @default.
- W2794463064 hasConcept C33923547 @default.
- W2794463064 hasConcept C62520636 @default.
- W2794463064 hasConcept C80899671 @default.
- W2794463064 hasConcept C9376300 @default.
- W2794463064 hasConceptScore W2794463064C113174947 @default.
- W2794463064 hasConceptScore W2794463064C114614502 @default.
- W2794463064 hasConceptScore W2794463064C121332964 @default.
- W2794463064 hasConceptScore W2794463064C132525143 @default.
- W2794463064 hasConceptScore W2794463064C134306372 @default.
- W2794463064 hasConceptScore W2794463064C181633103 @default.
- W2794463064 hasConceptScore W2794463064C199422724 @default.
- W2794463064 hasConceptScore W2794463064C202444582 @default.
- W2794463064 hasConceptScore W2794463064C2780345915 @default.
- W2794463064 hasConceptScore W2794463064C2781311116 @default.
- W2794463064 hasConceptScore W2794463064C33923547 @default.
- W2794463064 hasConceptScore W2794463064C62520636 @default.
- W2794463064 hasConceptScore W2794463064C80899671 @default.
- W2794463064 hasConceptScore W2794463064C9376300 @default.
- W2794463064 hasLocation W27944630641 @default.
- W2794463064 hasOpenAccess W2794463064 @default.
- W2794463064 hasPrimaryLocation W27944630641 @default.
- W2794463064 hasRelatedWork W1486913267 @default.
- W2794463064 hasRelatedWork W1756248573 @default.
- W2794463064 hasRelatedWork W1970198533 @default.
- W2794463064 hasRelatedWork W1990755114 @default.
- W2794463064 hasRelatedWork W2007982274 @default.
- W2794463064 hasRelatedWork W2030719845 @default.
- W2794463064 hasRelatedWork W2152687202 @default.
- W2794463064 hasRelatedWork W2167473724 @default.
- W2794463064 hasRelatedWork W2277551258 @default.
- W2794463064 hasRelatedWork W2312721548 @default.
- W2794463064 hasRelatedWork W2598472135 @default.
- W2794463064 hasRelatedWork W2625517520 @default.
- W2794463064 hasRelatedWork W2888705678 @default.
- W2794463064 hasRelatedWork W2950951634 @default.
- W2794463064 hasRelatedWork W2952524282 @default.
- W2794463064 hasRelatedWork W2964238283 @default.
- W2794463064 hasRelatedWork W3013387309 @default.
- W2794463064 hasRelatedWork W3023437158 @default.
- W2794463064 hasRelatedWork W3127675898 @default.
- W2794463064 hasRelatedWork W2506085736 @default.
- W2794463064 isParatext "false" @default.
- W2794463064 isRetracted "false" @default.
- W2794463064 magId "2794463064" @default.
- W2794463064 workType "article" @default.