Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385737755> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W4385737755 endingPage "372" @default.
- W4385737755 startingPage "348" @default.
- W4385737755 abstract "Let L(G) denote the space of integer-valued length functions on a countable group G endowed with the topology of pointwise convergence. Assuming that G does not satisfy any non-trivial mixed identity, we prove that a generic (in the Baire category sense) length function on G is a word length and the associated Cayley graph is isomorphic to a certain universal graph U independent of G. On the other hand, we show that every comeager subset of L(G) contains 2ℵ0 “asymptotically incomparable” length functions. A combination of these results yields 2ℵ0 pairwise non-equivalent regular representations G→Aut(U). We also prove that generic length functions are virtually indistinguishable from the model-theoretic point of view. Topological transitivity of the action of G on L(G) by conjugation plays a crucial role in the proof of the latter result." @default.
- W4385737755 created "2023-08-11" @default.
- W4385737755 creator A5016789218 @default.
- W4385737755 creator A5054064405 @default.
- W4385737755 creator A5016824113 @default.
- W4385737755 date "2023-12-01" @default.
- W4385737755 modified "2023-10-18" @default.
- W4385737755 title "Generic length functions on countable groups" @default.
- W4385737755 cites W1997345328 @default.
- W4385737755 cites W2054221426 @default.
- W4385737755 cites W2138733204 @default.
- W4385737755 cites W2911532097 @default.
- W4385737755 cites W2963136159 @default.
- W4385737755 cites W2963176827 @default.
- W4385737755 cites W3098335616 @default.
- W4385737755 cites W3101178155 @default.
- W4385737755 cites W3116856032 @default.
- W4385737755 cites W3150686548 @default.
- W4385737755 cites W4214847772 @default.
- W4385737755 cites W4313065683 @default.
- W4385737755 cites W786158582 @default.
- W4385737755 doi "https://doi.org/10.1016/j.jalgebra.2023.08.002" @default.
- W4385737755 hasPublicationYear "2023" @default.
- W4385737755 type Work @default.
- W4385737755 citedByCount "0" @default.
- W4385737755 crossrefType "journal-article" @default.
- W4385737755 hasAuthorship W4385737755A5016789218 @default.
- W4385737755 hasAuthorship W4385737755A5016824113 @default.
- W4385737755 hasAuthorship W4385737755A5054064405 @default.
- W4385737755 hasBestOaLocation W43857377552 @default.
- W4385737755 hasConcept C110729354 @default.
- W4385737755 hasConcept C111919701 @default.
- W4385737755 hasConcept C114614502 @default.
- W4385737755 hasConcept C118615104 @default.
- W4385737755 hasConcept C120204988 @default.
- W4385737755 hasConcept C132525143 @default.
- W4385737755 hasConcept C134306372 @default.
- W4385737755 hasConcept C184720557 @default.
- W4385737755 hasConcept C199845137 @default.
- W4385737755 hasConcept C27156116 @default.
- W4385737755 hasConcept C2777984123 @default.
- W4385737755 hasConcept C33923547 @default.
- W4385737755 hasConcept C41008148 @default.
- W4385737755 hasConcept C96386209 @default.
- W4385737755 hasConceptScore W4385737755C110729354 @default.
- W4385737755 hasConceptScore W4385737755C111919701 @default.
- W4385737755 hasConceptScore W4385737755C114614502 @default.
- W4385737755 hasConceptScore W4385737755C118615104 @default.
- W4385737755 hasConceptScore W4385737755C120204988 @default.
- W4385737755 hasConceptScore W4385737755C132525143 @default.
- W4385737755 hasConceptScore W4385737755C134306372 @default.
- W4385737755 hasConceptScore W4385737755C184720557 @default.
- W4385737755 hasConceptScore W4385737755C199845137 @default.
- W4385737755 hasConceptScore W4385737755C27156116 @default.
- W4385737755 hasConceptScore W4385737755C2777984123 @default.
- W4385737755 hasConceptScore W4385737755C33923547 @default.
- W4385737755 hasConceptScore W4385737755C41008148 @default.
- W4385737755 hasConceptScore W4385737755C96386209 @default.
- W4385737755 hasFunder F4320306076 @default.
- W4385737755 hasFunder F4320332172 @default.
- W4385737755 hasLocation W43857377551 @default.
- W4385737755 hasLocation W43857377552 @default.
- W4385737755 hasOpenAccess W4385737755 @default.
- W4385737755 hasPrimaryLocation W43857377551 @default.
- W4385737755 hasRelatedWork W132181944 @default.
- W4385737755 hasRelatedWork W2013203606 @default.
- W4385737755 hasRelatedWork W2163818648 @default.
- W4385737755 hasRelatedWork W3139413507 @default.
- W4385737755 hasRelatedWork W3199620675 @default.
- W4385737755 hasRelatedWork W4213313851 @default.
- W4385737755 hasRelatedWork W4283394643 @default.
- W4385737755 hasRelatedWork W4297433964 @default.
- W4385737755 hasRelatedWork W4298871793 @default.
- W4385737755 hasRelatedWork W879351238 @default.
- W4385737755 hasVolume "635" @default.
- W4385737755 isParatext "false" @default.
- W4385737755 isRetracted "false" @default.
- W4385737755 workType "article" @default.