Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288685655> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W4288685655 abstract "Abstract We study the shift dynamics of the groups <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>G</m:mi> <m:mo>=</m:mo> <m:mrow> <m:msub> <m:mi>G</m:mi> <m:mi>n</m:mi> </m:msub> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mrow> <m:msub> <m:mi>x</m:mi> <m:mn>0</m:mn> </m:msub> <m:mo></m:mo> <m:msub> <m:mi>x</m:mi> <m:mi>m</m:mi> </m:msub> <m:mo></m:mo> <m:msubsup> <m:mi>x</m:mi> <m:mi>k</m:mi> <m:mrow> <m:mo>-</m:mo> <m:mn>1</m:mn> </m:mrow> </m:msubsup> </m:mrow> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:mrow> </m:math> G=G_{n}(x_{0}x_{m}x_{k}^{-1}) of Fibonacci type introduced by Johnson and Mawdesley. The main result concerns the order of the shift automorphism of 𝐺 and determining whether it is an outer automorphism, and we find the latter occurs if and only if 𝐺 is not perfect. A result of Bogley provides that the aspherical presentations determine groups admitting a free shift action by <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi mathvariant=double-struck>Z</m:mi> <m:mi>n</m:mi> </m:msub> </m:math> mathbb{Z}_{n} on the nonidentity elements of 𝐺, from which it follows that the shift is an outer automorphism of order 𝑛 when 𝐺 is nontrivial. The focus of this paper is therefore on the non-aspherical cases, which include for example the Fibonacci and Sieradski groups. With few exceptions, the fixed-point and freeness problems for the shift automorphism are solved, in some cases using computational and topological methods." @default.
- W4288685655 created "2022-07-30" @default.
- W4288685655 creator A5032096986 @default.
- W4288685655 date "2022-07-30" @default.
- W4288685655 modified "2023-09-27" @default.
- W4288685655 title "Shift dynamics of the groups of Fibonacci type" @default.
- W4288685655 cites W1956890014 @default.
- W4288685655 cites W1973866568 @default.
- W4288685655 cites W1976680217 @default.
- W4288685655 cites W2034653323 @default.
- W4288685655 cites W2043188419 @default.
- W4288685655 cites W2048404407 @default.
- W4288685655 cites W2050903301 @default.
- W4288685655 cites W2081638221 @default.
- W4288685655 cites W2082008128 @default.
- W4288685655 cites W2090807153 @default.
- W4288685655 cites W2092585952 @default.
- W4288685655 cites W2093852115 @default.
- W4288685655 cites W2098497745 @default.
- W4288685655 cites W2125291168 @default.
- W4288685655 cites W2137498293 @default.
- W4288685655 cites W2334343481 @default.
- W4288685655 cites W2963217795 @default.
- W4288685655 cites W2963371713 @default.
- W4288685655 cites W2963710959 @default.
- W4288685655 cites W2963863932 @default.
- W4288685655 cites W2990771527 @default.
- W4288685655 cites W2991386095 @default.
- W4288685655 cites W3092631369 @default.
- W4288685655 cites W3147587377 @default.
- W4288685655 cites W3181924227 @default.
- W4288685655 cites W4232500065 @default.
- W4288685655 cites W4253118785 @default.
- W4288685655 cites W94679887 @default.
- W4288685655 doi "https://doi.org/10.1515/jgth-2022-0003" @default.
- W4288685655 hasPublicationYear "2022" @default.
- W4288685655 type Work @default.
- W4288685655 citedByCount "0" @default.
- W4288685655 crossrefType "journal-article" @default.
- W4288685655 hasAuthorship W4288685655A5032096986 @default.
- W4288685655 hasConcept C10138342 @default.
- W4288685655 hasConcept C114614502 @default.
- W4288685655 hasConcept C118712358 @default.
- W4288685655 hasConcept C121332964 @default.
- W4288685655 hasConcept C162324750 @default.
- W4288685655 hasConcept C173734053 @default.
- W4288685655 hasConcept C182306322 @default.
- W4288685655 hasConcept C185592680 @default.
- W4288685655 hasConcept C18903297 @default.
- W4288685655 hasConcept C2777299769 @default.
- W4288685655 hasConcept C33923547 @default.
- W4288685655 hasConcept C8010536 @default.
- W4288685655 hasConcept C86803240 @default.
- W4288685655 hasConceptScore W4288685655C10138342 @default.
- W4288685655 hasConceptScore W4288685655C114614502 @default.
- W4288685655 hasConceptScore W4288685655C118712358 @default.
- W4288685655 hasConceptScore W4288685655C121332964 @default.
- W4288685655 hasConceptScore W4288685655C162324750 @default.
- W4288685655 hasConceptScore W4288685655C173734053 @default.
- W4288685655 hasConceptScore W4288685655C182306322 @default.
- W4288685655 hasConceptScore W4288685655C185592680 @default.
- W4288685655 hasConceptScore W4288685655C18903297 @default.
- W4288685655 hasConceptScore W4288685655C2777299769 @default.
- W4288685655 hasConceptScore W4288685655C33923547 @default.
- W4288685655 hasConceptScore W4288685655C8010536 @default.
- W4288685655 hasConceptScore W4288685655C86803240 @default.
- W4288685655 hasIssue "0" @default.
- W4288685655 hasLocation W42886856551 @default.
- W4288685655 hasOpenAccess W4288685655 @default.
- W4288685655 hasPrimaryLocation W42886856551 @default.
- W4288685655 hasRelatedWork W2001063456 @default.
- W4288685655 hasRelatedWork W2147170959 @default.
- W4288685655 hasRelatedWork W2148351559 @default.
- W4288685655 hasRelatedWork W2304837213 @default.
- W4288685655 hasRelatedWork W2318887141 @default.
- W4288685655 hasRelatedWork W2319517591 @default.
- W4288685655 hasRelatedWork W2462327157 @default.
- W4288685655 hasRelatedWork W2741314834 @default.
- W4288685655 hasRelatedWork W2907741910 @default.
- W4288685655 hasRelatedWork W2963335075 @default.
- W4288685655 hasVolume "0" @default.
- W4288685655 isParatext "false" @default.
- W4288685655 isRetracted "false" @default.
- W4288685655 workType "article" @default.