FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2197857786> ?p ?o ?g. }

• W2197857786 endingPage "37" @default.
• W2197857786 startingPage "21" @default.
• W2197857786 abstract "In this paper, we consider the group Aut$(mathbb{Q}, leq)$ of order-automorphisms of the rational numbers, proving a result analogous to a theorem of Galvin's for the symmetric group. In an announcement, Kh'elif states that every countable subset of Aut$(mathbb{Q}, leq)$ is contained in an $N$-generated subgroup of Aut$(mathbb{Q}, leq)$ for some fixed $Ninmathbb{N}$. We show that the least such $N$ is $2$. Moreover, for every countable subset of Aut$(mathbb{Q}, leq)$, we show that every element can be given as a prescribed product of two generators without using their inverses. More precisely, suppose that $a$ and $b$ freely generate the free semigroup ${a,b}^+$ consisting of the non-empty words over $a$ and $b$. Then we show that there exists a sequence of words $w_1, w_2,ldots$ over ${a,b}$ such that for every sequence $f_1, f_2, ldotsin,$Aut$(mathbb{Q}, leq)$ there is a homomorphism $phi:{a,b}^{+}to$ Aut$(mathbb{Q},leq)$ where $(w_i)phi=f_i$ for every $i$. As a corollary to the main theorem in this paper, we obtain a result of Droste and Holland showing that the strong cofinality of Aut$(mathbb{Q}, leq)$ is uncountable, or equivalently that Aut$(mathbb{Q}, leq)$ has uncountable cofinality and Bergman's property." @default.
• W2197857786 created "2016-06-24" @default.
• W2197857786 creator A5004927947 @default.
• W2197857786 creator A5070323843 @default.
• W2197857786 creator A5089595324 @default.
• W2197857786 creator A5087983381 @default.
• W2197857786 date "2016-05-13" @default.
• W2197857786 modified "2023-09-28" @default.
• W2197857786 title "Universal sequences for the order-automorphisms of the rationals" @default.
• W2197857786 cites W1973276289 @default.
• W2197857786 cites W1983071937 @default.
• W2197857786 cites W1991308293 @default.
• W2197857786 cites W2008023303 @default.
• W2197857786 cites W2013415810 @default.
• W2197857786 cites W2029887144 @default.
• W2197857786 cites W2043940886 @default.
• W2197857786 cites W2057215744 @default.
• W2197857786 cites W2060302101 @default.
• W2197857786 cites W2065734406 @default.
• W2197857786 cites W2068180495 @default.
• W2197857786 cites W2079393706 @default.
• W2197857786 cites W2099201032 @default.
• W2197857786 cites W2146281495 @default.
• W2197857786 cites W2160126870 @default.
• W2197857786 cites W3101178155 @default.
• W2197857786 cites W804547537 @default.
• W2197857786 cites W877019612 @default.
• W2197857786 doi "https://doi.org/10.1112/jlms/jdw015" @default.
• W2197857786 hasPublicationYear "2016" @default.
• W2197857786 type Work @default.
• W2197857786 sameAs 2197857786 @default.
• W2197857786 citedByCount "1" @default.
• W2197857786 countsByYear W21978577862020 @default.
• W2197857786 crossrefType "journal-article" @default.
• W2197857786 hasAuthorship W2197857786A5004927947 @default.
• W2197857786 hasAuthorship W2197857786A5070323843 @default.
• W2197857786 hasAuthorship W2197857786A5087983381 @default.
• W2197857786 hasAuthorship W2197857786A5089595324 @default.
• W2197857786 hasBestOaLocation W21978577862 @default.
• W2197857786 hasConcept C10138342 @default.
• W2197857786 hasConcept C110729354 @default.
• W2197857786 hasConcept C114614502 @default.
• W2197857786 hasConcept C118615104 @default.
• W2197857786 hasConcept C118712358 @default.
• W2197857786 hasConcept C121332964 @default.
• W2197857786 hasConcept C142399903 @default.
• W2197857786 hasConcept C148070024 @default.
• W2197857786 hasConcept C162324750 @default.
• W2197857786 hasConcept C182306322 @default.
• W2197857786 hasConcept C207405024 @default.
• W2197857786 hasConcept C2778112365 @default.
• W2197857786 hasConcept C2779483109 @default.
• W2197857786 hasConcept C2781311116 @default.
• W2197857786 hasConcept C33923547 @default.
• W2197857786 hasConcept C4042151 @default.
• W2197857786 hasConcept C46875033 @default.
• W2197857786 hasConcept C54355233 @default.
• W2197857786 hasConcept C62520636 @default.
• W2197857786 hasConcept C86803240 @default.
• W2197857786 hasConceptScore W2197857786C10138342 @default.
• W2197857786 hasConceptScore W2197857786C110729354 @default.
• W2197857786 hasConceptScore W2197857786C114614502 @default.
• W2197857786 hasConceptScore W2197857786C118615104 @default.
• W2197857786 hasConceptScore W2197857786C118712358 @default.
• W2197857786 hasConceptScore W2197857786C121332964 @default.
• W2197857786 hasConceptScore W2197857786C142399903 @default.
• W2197857786 hasConceptScore W2197857786C148070024 @default.
• W2197857786 hasConceptScore W2197857786C162324750 @default.
• W2197857786 hasConceptScore W2197857786C182306322 @default.
• W2197857786 hasConceptScore W2197857786C207405024 @default.
• W2197857786 hasConceptScore W2197857786C2778112365 @default.
• W2197857786 hasConceptScore W2197857786C2779483109 @default.
• W2197857786 hasConceptScore W2197857786C2781311116 @default.
• W2197857786 hasConceptScore W2197857786C33923547 @default.
• W2197857786 hasConceptScore W2197857786C4042151 @default.
• W2197857786 hasConceptScore W2197857786C46875033 @default.
• W2197857786 hasConceptScore W2197857786C54355233 @default.
• W2197857786 hasConceptScore W2197857786C62520636 @default.
• W2197857786 hasConceptScore W2197857786C86803240 @default.
• W2197857786 hasIssue "1" @default.
• W2197857786 hasLocation W21978577861 @default.
• W2197857786 hasLocation W21978577862 @default.
• W2197857786 hasLocation W21978577863 @default.
• W2197857786 hasLocation W21978577864 @default.
• W2197857786 hasLocation W21978577865 @default.
• W2197857786 hasLocation W21978577866 @default.
• W2197857786 hasOpenAccess W2197857786 @default.
• W2197857786 hasPrimaryLocation W21978577861 @default.
• W2197857786 hasRelatedWork W1657289163 @default.
• W2197857786 hasRelatedWork W1909621464 @default.
• W2197857786 hasRelatedWork W1978697572 @default.
• W2197857786 hasRelatedWork W2141705217 @default.
• W2197857786 hasRelatedWork W2197857786 @default.
• W2197857786 hasRelatedWork W2963261474 @default.
• W2197857786 hasRelatedWork W3200265934 @default.
• W2197857786 hasRelatedWork W4299285983 @default.
• W2197857786 hasRelatedWork W4300477465 @default.
• W2197857786 hasRelatedWork W947569480 @default.

• next