Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995467319> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W1995467319 endingPage "828" @default.
- W1995467319 startingPage "804" @default.
- W1995467319 abstract "The principal goal of the paper is to show that the existence of a finitely generated normal subgroup of infinite index in a profinite group G of non-negative deficiency gives rather strong consequences for the structure of G. To make this precise we introduce the notion of p-deficiency (p a prime) for a profinite group G. We prove that if the p-deficiency of G is positive and N is a finitely generated normal subgroup such that the p-Sylow subgroup of G/N is infinite and p divides the order of N then we have cdp(G)=2, cdp(N)=1 and vcdp(G/N)=1 for the cohomological p-dimensions; moreover either the p-Sylow subgroup of G/N is virtually cyclic or the p-Sylow subgroup of N is cyclic. If G is a profinite Poincaré duality group of dimension 3 at a prime p (PD3-group at p) we show that for N and p as above either N is PD1 at p and G/N is virtually PD2 at p or N is PD2 at p and G/N is virtually PD1 at p. We apply this results to deduce structural information on the profinite completions of ascending HNN-extensions of free groups and 3-manifold groups. We prove that the arithmetic lattices in SL2(C) are cohomologically good and give some implications of our theory to their congruence kernels." @default.
- W1995467319 created "2016-06-24" @default.
- W1995467319 creator A5039460057 @default.
- W1995467319 creator A5041116182 @default.
- W1995467319 creator A5060751115 @default.
- W1995467319 creator A5086641612 @default.
- W1995467319 date "2014-05-01" @default.
- W1995467319 modified "2023-10-12" @default.
- W1995467319 title "Normal subgroups of profinite groups of non-negative deficiency" @default.
- W1995467319 cites W1598195308 @default.
- W1995467319 cites W1983369941 @default.
- W1995467319 cites W1986937739 @default.
- W1995467319 cites W1996687701 @default.
- W1995467319 cites W2003006319 @default.
- W1995467319 cites W2008796784 @default.
- W1995467319 cites W2013461168 @default.
- W1995467319 cites W2018791902 @default.
- W1995467319 cites W2032526760 @default.
- W1995467319 cites W2041269336 @default.
- W1995467319 cites W2047106600 @default.
- W1995467319 cites W2048031188 @default.
- W1995467319 cites W2059536492 @default.
- W1995467319 cites W2063096109 @default.
- W1995467319 cites W2063331588 @default.
- W1995467319 cites W2086591683 @default.
- W1995467319 cites W2127238711 @default.
- W1995467319 cites W2327127028 @default.
- W1995467319 cites W2963048740 @default.
- W1995467319 cites W3103895476 @default.
- W1995467319 doi "https://doi.org/10.1016/j.jpaa.2013.10.003" @default.
- W1995467319 hasPublicationYear "2014" @default.
- W1995467319 type Work @default.
- W1995467319 sameAs 1995467319 @default.
- W1995467319 citedByCount "7" @default.
- W1995467319 countsByYear W19954673192019 @default.
- W1995467319 countsByYear W19954673192020 @default.
- W1995467319 countsByYear W19954673192021 @default.
- W1995467319 countsByYear W19954673192022 @default.
- W1995467319 countsByYear W19954673192023 @default.
- W1995467319 crossrefType "journal-article" @default.
- W1995467319 hasAuthorship W1995467319A5039460057 @default.
- W1995467319 hasAuthorship W1995467319A5041116182 @default.
- W1995467319 hasAuthorship W1995467319A5060751115 @default.
- W1995467319 hasAuthorship W1995467319A5086641612 @default.
- W1995467319 hasBestOaLocation W19954673192 @default.
- W1995467319 hasConcept C105515060 @default.
- W1995467319 hasConcept C114614502 @default.
- W1995467319 hasConcept C124535231 @default.
- W1995467319 hasConcept C14735163 @default.
- W1995467319 hasConcept C178790620 @default.
- W1995467319 hasConcept C184992742 @default.
- W1995467319 hasConcept C185592680 @default.
- W1995467319 hasConcept C202444582 @default.
- W1995467319 hasConcept C2777404646 @default.
- W1995467319 hasConcept C2781311116 @default.
- W1995467319 hasConcept C30236536 @default.
- W1995467319 hasConcept C33923547 @default.
- W1995467319 hasConcept C55792552 @default.
- W1995467319 hasConceptScore W1995467319C105515060 @default.
- W1995467319 hasConceptScore W1995467319C114614502 @default.
- W1995467319 hasConceptScore W1995467319C124535231 @default.
- W1995467319 hasConceptScore W1995467319C14735163 @default.
- W1995467319 hasConceptScore W1995467319C178790620 @default.
- W1995467319 hasConceptScore W1995467319C184992742 @default.
- W1995467319 hasConceptScore W1995467319C185592680 @default.
- W1995467319 hasConceptScore W1995467319C202444582 @default.
- W1995467319 hasConceptScore W1995467319C2777404646 @default.
- W1995467319 hasConceptScore W1995467319C2781311116 @default.
- W1995467319 hasConceptScore W1995467319C30236536 @default.
- W1995467319 hasConceptScore W1995467319C33923547 @default.
- W1995467319 hasConceptScore W1995467319C55792552 @default.
- W1995467319 hasIssue "5" @default.
- W1995467319 hasLocation W19954673191 @default.
- W1995467319 hasLocation W19954673192 @default.
- W1995467319 hasLocation W19954673193 @default.
- W1995467319 hasOpenAccess W1995467319 @default.
- W1995467319 hasPrimaryLocation W19954673191 @default.
- W1995467319 hasRelatedWork W1998300610 @default.
- W1995467319 hasRelatedWork W2033338760 @default.
- W1995467319 hasRelatedWork W2052898258 @default.
- W1995467319 hasRelatedWork W2071860018 @default.
- W1995467319 hasRelatedWork W2329270894 @default.
- W1995467319 hasRelatedWork W2385697977 @default.
- W1995467319 hasRelatedWork W2418383425 @default.
- W1995467319 hasRelatedWork W4226098507 @default.
- W1995467319 hasRelatedWork W4285084620 @default.
- W1995467319 hasRelatedWork W4299324915 @default.
- W1995467319 hasVolume "218" @default.
- W1995467319 isParatext "false" @default.
- W1995467319 isRetracted "false" @default.
- W1995467319 magId "1995467319" @default.
- W1995467319 workType "article" @default.