Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301757943> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4301757943 abstract "If G and H are finitely generated, residually nilpotent metabelian groups, H is termed para-G if there is a homomorphism of G into H which induces an isomorphism between the corresponding terms of their lower central quotient groups. We prove that this is an equivalence relation. It is a much coarser relation than isomorphism, our ultimate concern. It turns out that many of the groups in a given equivalence class share various properties including finite presentability. There are examples, such as the lamplighter group, where an equivalence class consists of a single isomorphism class and others where this is not the case. We give several examples where we solve the Isomorphism Problem. We prove also that the sequence of torsion-free ranks of the lower central quotients of a finitely generated metabelian group is computable. In a future paper we plan on proving that there is an algorithm to compute the numerator and denominator of the rational Poincar'e series of a finitely generated metabelian group and will carry out this computation in a number of examples, which may shed a tiny bit of light on the Isomorphism Problem. Our proofs use localization, class field theory and some constructive commutative algebra." @default.
- W4301757943 created "2022-10-05" @default.
- W4301757943 creator A5041443439 @default.
- W4301757943 creator A5054206630 @default.
- W4301757943 creator A5080911758 @default.
- W4301757943 date "2013-01-23" @default.
- W4301757943 modified "2023-09-26" @default.
- W4301757943 title "Localization, metabelian groups, and the isomorphism problem" @default.
- W4301757943 doi "https://doi.org/10.48550/arxiv.1301.5533" @default.
- W4301757943 hasPublicationYear "2013" @default.
- W4301757943 type Work @default.
- W4301757943 citedByCount "0" @default.
- W4301757943 crossrefType "posted-content" @default.
- W4301757943 hasAuthorship W4301757943A5041443439 @default.
- W4301757943 hasAuthorship W4301757943A5054206630 @default.
- W4301757943 hasAuthorship W4301757943A5080911758 @default.
- W4301757943 hasBestOaLocation W43017579431 @default.
- W4301757943 hasConcept C108710211 @default.
- W4301757943 hasConcept C111919701 @default.
- W4301757943 hasConcept C114614502 @default.
- W4301757943 hasConcept C115624301 @default.
- W4301757943 hasConcept C118615104 @default.
- W4301757943 hasConcept C136119220 @default.
- W4301757943 hasConcept C136170076 @default.
- W4301757943 hasConcept C156103551 @default.
- W4301757943 hasConcept C178790620 @default.
- W4301757943 hasConcept C183778304 @default.
- W4301757943 hasConcept C185592680 @default.
- W4301757943 hasConcept C199422724 @default.
- W4301757943 hasConcept C202444582 @default.
- W4301757943 hasConcept C203436722 @default.
- W4301757943 hasConcept C20725272 @default.
- W4301757943 hasConcept C2524010 @default.
- W4301757943 hasConcept C2778701210 @default.
- W4301757943 hasConcept C2781311116 @default.
- W4301757943 hasConcept C33923547 @default.
- W4301757943 hasConcept C41008148 @default.
- W4301757943 hasConcept C8010536 @default.
- W4301757943 hasConcept C95627345 @default.
- W4301757943 hasConcept C98045186 @default.
- W4301757943 hasConceptScore W4301757943C108710211 @default.
- W4301757943 hasConceptScore W4301757943C111919701 @default.
- W4301757943 hasConceptScore W4301757943C114614502 @default.
- W4301757943 hasConceptScore W4301757943C115624301 @default.
- W4301757943 hasConceptScore W4301757943C118615104 @default.
- W4301757943 hasConceptScore W4301757943C136119220 @default.
- W4301757943 hasConceptScore W4301757943C136170076 @default.
- W4301757943 hasConceptScore W4301757943C156103551 @default.
- W4301757943 hasConceptScore W4301757943C178790620 @default.
- W4301757943 hasConceptScore W4301757943C183778304 @default.
- W4301757943 hasConceptScore W4301757943C185592680 @default.
- W4301757943 hasConceptScore W4301757943C199422724 @default.
- W4301757943 hasConceptScore W4301757943C202444582 @default.
- W4301757943 hasConceptScore W4301757943C203436722 @default.
- W4301757943 hasConceptScore W4301757943C20725272 @default.
- W4301757943 hasConceptScore W4301757943C2524010 @default.
- W4301757943 hasConceptScore W4301757943C2778701210 @default.
- W4301757943 hasConceptScore W4301757943C2781311116 @default.
- W4301757943 hasConceptScore W4301757943C33923547 @default.
- W4301757943 hasConceptScore W4301757943C41008148 @default.
- W4301757943 hasConceptScore W4301757943C8010536 @default.
- W4301757943 hasConceptScore W4301757943C95627345 @default.
- W4301757943 hasConceptScore W4301757943C98045186 @default.
- W4301757943 hasLocation W43017579431 @default.
- W4301757943 hasOpenAccess W4301757943 @default.
- W4301757943 hasPrimaryLocation W43017579431 @default.
- W4301757943 hasRelatedWork W1489795251 @default.
- W4301757943 hasRelatedWork W1505417598 @default.
- W4301757943 hasRelatedWork W1512635859 @default.
- W4301757943 hasRelatedWork W2130403043 @default.
- W4301757943 hasRelatedWork W2375234706 @default.
- W4301757943 hasRelatedWork W2884163022 @default.
- W4301757943 hasRelatedWork W2962725487 @default.
- W4301757943 hasRelatedWork W2964409886 @default.
- W4301757943 hasRelatedWork W3164624820 @default.
- W4301757943 hasRelatedWork W4301757943 @default.
- W4301757943 isParatext "false" @default.
- W4301757943 isRetracted "false" @default.
- W4301757943 workType "article" @default.