Matches in SemOpenAlex for { <https://semopenalex.org/work/W2496170044> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2496170044 endingPage "160" @default.
- W2496170044 startingPage "150" @default.
- W2496170044 abstract "Introduction This year we celebrate the centenaries of the births of B. H. Neumann and A. I. Mal'cev, two great pioneers in the study of ordered algebraic structures. This paper is a survey of our recent progress in this area, and amplifies the talks we gave in Bath at the Groups St. Andrews Conference there, and the first author gave at the Mal'cev Centenary Conference in Novosibirsk. A version of this paper in Russian will appear in honour of the Mal'cev Centenary and the 80 th anniversary of A. I. Kokorin, another pioneer in the subject (Izvestia of Irkutsk Sate University, Series Matematika, Vol. 2 (2009), No. 2, 4–19). The heart of the paper for pure group theorists is Section 4. Groups versus Lattice-ordered Groups One way to obtain results in infinite group theory is through spelling and associated constructions, such as free groups, free products, free products with amalgamated subgroups, and HNN-extensions [23]. The first two constructions are available in any variety of algebras, but for groups they are especially nice. This is for two reasons. The first is that every element of a free group has a unique easily obtained reduced spelling in terms of the generators and there is, similarly, a unique normal form for elements of a free product. Moreover, given any groups G 1 and G 2 with isomorphic subgroups H 1 and H 2 , respectively (say φ : H 1 ≅ H 2 ), there is a group L and embeddings Τ i : G i → L ( i = 1, 2) such that h 1 Τ 1 = h 1 φΤ 2 for all h 1 ∈ H 1 ." @default.
- W2496170044 created "2016-08-23" @default.
- W2496170044 creator A5006299976 @default.
- W2496170044 creator A5083159249 @default.
- W2496170044 date "2011-07-20" @default.
- W2496170044 modified "2023-09-26" @default.
- W2496170044 title "A survey of recent results in groups and orderings: word problems, embeddings and amalgamations" @default.
- W2496170044 cites W1421975267 @default.
- W2496170044 cites W1516116134 @default.
- W2496170044 cites W1522130728 @default.
- W2496170044 cites W1976677396 @default.
- W2496170044 cites W1977498733 @default.
- W2496170044 cites W2004097328 @default.
- W2496170044 cites W2033563777 @default.
- W2496170044 cites W2039842953 @default.
- W2496170044 cites W2043940886 @default.
- W2496170044 cites W2044607508 @default.
- W2496170044 cites W2048773549 @default.
- W2496170044 cites W2071798448 @default.
- W2496170044 cites W2130420929 @default.
- W2496170044 cites W2316365877 @default.
- W2496170044 cites W2501326539 @default.
- W2496170044 cites W2963485219 @default.
- W2496170044 cites W2963589163 @default.
- W2496170044 cites W629265671 @default.
- W2496170044 cites W1967684312 @default.
- W2496170044 doi "https://doi.org/10.1017/cbo9780511842467.009" @default.
- W2496170044 hasPublicationYear "2011" @default.
- W2496170044 type Work @default.
- W2496170044 sameAs 2496170044 @default.
- W2496170044 citedByCount "1" @default.
- W2496170044 countsByYear W24961700442017 @default.
- W2496170044 crossrefType "book-chapter" @default.
- W2496170044 hasAuthorship W2496170044A5006299976 @default.
- W2496170044 hasAuthorship W2496170044A5083159249 @default.
- W2496170044 hasConcept C114614502 @default.
- W2496170044 hasConcept C121332964 @default.
- W2496170044 hasConcept C136119220 @default.
- W2496170044 hasConcept C202444582 @default.
- W2496170044 hasConcept C2781311116 @default.
- W2496170044 hasConcept C33923547 @default.
- W2496170044 hasConcept C47527751 @default.
- W2496170044 hasConcept C62520636 @default.
- W2496170044 hasConcept C77021192 @default.
- W2496170044 hasConcept C80469333 @default.
- W2496170044 hasConceptScore W2496170044C114614502 @default.
- W2496170044 hasConceptScore W2496170044C121332964 @default.
- W2496170044 hasConceptScore W2496170044C136119220 @default.
- W2496170044 hasConceptScore W2496170044C202444582 @default.
- W2496170044 hasConceptScore W2496170044C2781311116 @default.
- W2496170044 hasConceptScore W2496170044C33923547 @default.
- W2496170044 hasConceptScore W2496170044C47527751 @default.
- W2496170044 hasConceptScore W2496170044C62520636 @default.
- W2496170044 hasConceptScore W2496170044C77021192 @default.
- W2496170044 hasConceptScore W2496170044C80469333 @default.
- W2496170044 hasLocation W24961700441 @default.
- W2496170044 hasOpenAccess W2496170044 @default.
- W2496170044 hasPrimaryLocation W24961700441 @default.
- W2496170044 hasRelatedWork W1014509287 @default.
- W2496170044 hasRelatedWork W1032721854 @default.
- W2496170044 hasRelatedWork W1457607023 @default.
- W2496170044 hasRelatedWork W1508151251 @default.
- W2496170044 hasRelatedWork W1529300242 @default.
- W2496170044 hasRelatedWork W1599259931 @default.
- W2496170044 hasRelatedWork W1607839185 @default.
- W2496170044 hasRelatedWork W1673824705 @default.
- W2496170044 hasRelatedWork W1676301286 @default.
- W2496170044 hasRelatedWork W2279686399 @default.
- W2496170044 hasRelatedWork W2314511058 @default.
- W2496170044 hasRelatedWork W2493946794 @default.
- W2496170044 hasRelatedWork W2501820695 @default.
- W2496170044 hasRelatedWork W2507679366 @default.
- W2496170044 hasRelatedWork W2990519295 @default.
- W2496170044 hasRelatedWork W2990949350 @default.
- W2496170044 hasRelatedWork W2991323370 @default.
- W2496170044 hasRelatedWork W3099032828 @default.
- W2496170044 hasRelatedWork W3102747723 @default.
- W2496170044 hasRelatedWork W821304465 @default.
- W2496170044 isParatext "false" @default.
- W2496170044 isRetracted "false" @default.
- W2496170044 magId "2496170044" @default.
- W2496170044 workType "book-chapter" @default.