Matches in SemOpenAlex for { <https://semopenalex.org/work/W2589952757> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2589952757 endingPage "23" @default.
- W2589952757 startingPage "1" @default.
- W2589952757 abstract "Let G be a finitely generated pro-p group, equipped with the p-power series $$P:{G_i} = {G^{{P^i}}}$$ , i ∈ ℕ0. The associated metric and Hausdorff dimension function $$hdim_G^P:{{X|Xsubseteq{G}}}rightarrow[0,1]$$ give rise to $$hspe{c^P}(G) = { hdim _G^P(H)|H leqslant G} subseteq [0,1],$$ the Hausdorff spectrum of closed subgroups of G. In the case where G is p-adic analytic, the Hausdorff dimension function is well understood; in particular, hspecP(G) consists of finitely many rational numbers closely linked to the analytic dimensions of subgroups of G. Conversely, it is a long-standing open question whether |hspecP(G)|<∞ implies that G is p-adic analytic. We prove that the answer is yes, in a strong sense, under the extra condition that G is soluble. Furthermore, we explore the problem and related questions also for other filtration series, such as the lower p-series, the Frattini series, the modular dimension subgroup series and quite general filtration series. For instance, we prove, for p > 2, that every countably based pro-p group G with an open subgroup mapping onto ℤp ⨁ ℤp admits a filtration series S such that hspecS(G) contains an infinite real interval." @default.
- W2589952757 created "2017-03-03" @default.
- W2589952757 creator A5018320742 @default.
- W2589952757 creator A5040799296 @default.
- W2589952757 creator A5050917009 @default.
- W2589952757 date "2019-05-01" @default.
- W2589952757 modified "2023-09-24" @default.
- W2589952757 title "Hausdorff dimensions in p-adic analytic groups" @default.
- W2589952757 cites W1713530077 @default.
- W2589952757 cites W2010596084 @default.
- W2589952757 cites W2044157948 @default.
- W2589952757 cites W2059898066 @default.
- W2589952757 cites W2064866883 @default.
- W2589952757 cites W2084818400 @default.
- W2589952757 cites W2084898916 @default.
- W2589952757 cites W2114619383 @default.
- W2589952757 cites W2125426572 @default.
- W2589952757 cites W2962774817 @default.
- W2589952757 cites W4247556508 @default.
- W2589952757 cites W4255662172 @default.
- W2589952757 doi "https://doi.org/10.1007/s11856-019-1852-z" @default.
- W2589952757 hasPublicationYear "2019" @default.
- W2589952757 type Work @default.
- W2589952757 sameAs 2589952757 @default.
- W2589952757 citedByCount "8" @default.
- W2589952757 countsByYear W25899527572017 @default.
- W2589952757 countsByYear W25899527572019 @default.
- W2589952757 countsByYear W25899527572020 @default.
- W2589952757 countsByYear W25899527572021 @default.
- W2589952757 countsByYear W25899527572022 @default.
- W2589952757 crossrefType "journal-article" @default.
- W2589952757 hasAuthorship W2589952757A5018320742 @default.
- W2589952757 hasAuthorship W2589952757A5040799296 @default.
- W2589952757 hasAuthorship W2589952757A5050917009 @default.
- W2589952757 hasBestOaLocation W25899527572 @default.
- W2589952757 hasConcept C110729354 @default.
- W2589952757 hasConcept C114614502 @default.
- W2589952757 hasConcept C118615104 @default.
- W2589952757 hasConcept C128489963 @default.
- W2589952757 hasConcept C134306372 @default.
- W2589952757 hasConcept C14036430 @default.
- W2589952757 hasConcept C143724316 @default.
- W2589952757 hasConcept C151730666 @default.
- W2589952757 hasConcept C162860070 @default.
- W2589952757 hasConcept C178790620 @default.
- W2589952757 hasConcept C185592680 @default.
- W2589952757 hasConcept C191399826 @default.
- W2589952757 hasConcept C194198291 @default.
- W2589952757 hasConcept C202444582 @default.
- W2589952757 hasConcept C2781311116 @default.
- W2589952757 hasConcept C33676613 @default.
- W2589952757 hasConcept C33923547 @default.
- W2589952757 hasConcept C559843788 @default.
- W2589952757 hasConcept C73905626 @default.
- W2589952757 hasConcept C78458016 @default.
- W2589952757 hasConcept C86803240 @default.
- W2589952757 hasConceptScore W2589952757C110729354 @default.
- W2589952757 hasConceptScore W2589952757C114614502 @default.
- W2589952757 hasConceptScore W2589952757C118615104 @default.
- W2589952757 hasConceptScore W2589952757C128489963 @default.
- W2589952757 hasConceptScore W2589952757C134306372 @default.
- W2589952757 hasConceptScore W2589952757C14036430 @default.
- W2589952757 hasConceptScore W2589952757C143724316 @default.
- W2589952757 hasConceptScore W2589952757C151730666 @default.
- W2589952757 hasConceptScore W2589952757C162860070 @default.
- W2589952757 hasConceptScore W2589952757C178790620 @default.
- W2589952757 hasConceptScore W2589952757C185592680 @default.
- W2589952757 hasConceptScore W2589952757C191399826 @default.
- W2589952757 hasConceptScore W2589952757C194198291 @default.
- W2589952757 hasConceptScore W2589952757C202444582 @default.
- W2589952757 hasConceptScore W2589952757C2781311116 @default.
- W2589952757 hasConceptScore W2589952757C33676613 @default.
- W2589952757 hasConceptScore W2589952757C33923547 @default.
- W2589952757 hasConceptScore W2589952757C559843788 @default.
- W2589952757 hasConceptScore W2589952757C73905626 @default.
- W2589952757 hasConceptScore W2589952757C78458016 @default.
- W2589952757 hasConceptScore W2589952757C86803240 @default.
- W2589952757 hasIssue "1" @default.
- W2589952757 hasLocation W25899527571 @default.
- W2589952757 hasLocation W25899527572 @default.
- W2589952757 hasLocation W25899527573 @default.
- W2589952757 hasOpenAccess W2589952757 @default.
- W2589952757 hasPrimaryLocation W25899527571 @default.
- W2589952757 hasRelatedWork W1572663405 @default.
- W2589952757 hasRelatedWork W1992709605 @default.
- W2589952757 hasRelatedWork W2074469003 @default.
- W2589952757 hasRelatedWork W2095260015 @default.
- W2589952757 hasRelatedWork W2148911164 @default.
- W2589952757 hasRelatedWork W2312700207 @default.
- W2589952757 hasRelatedWork W2564599082 @default.
- W2589952757 hasRelatedWork W2996967498 @default.
- W2589952757 hasRelatedWork W3126851031 @default.
- W2589952757 hasRelatedWork W4294560386 @default.
- W2589952757 hasVolume "231" @default.
- W2589952757 isParatext "false" @default.
- W2589952757 isRetracted "false" @default.
- W2589952757 magId "2589952757" @default.
- W2589952757 workType "article" @default.