@incollection{SB_1974-1975__17__61_0, author = {Sabbagh, Gabriel}, title = {Caract\'erisation alg\'ebrique des groupes de type fini ayant un probl\`eme de mots r\'esoluble (th\'eor\`eme de {Boone-Higman,} travaux de {B.} {H.} {Neumann} et {MacIntyre)}}, booktitle = {S\'eminaire Bourbaki : vol. 1974/75, expos\'es 453-470}, series = {S\'eminaire Bourbaki}, note = {talk:457}, pages = {61--80}, publisher = {Springer-Verlag}, number = {17}, year = {1976}, mrnumber = {446941}, zbl = {0366.20023}, language = {fr}, url = {http://archive.numdam.org/item/SB_1974-1975__17__61_0/} }
TY - CHAP AU - Sabbagh, Gabriel TI - Caractérisation algébrique des groupes de type fini ayant un problème de mots résoluble (théorème de Boone-Higman, travaux de B. H. Neumann et MacIntyre) BT - Séminaire Bourbaki : vol. 1974/75, exposés 453-470 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:457 PY - 1976 SP - 61 EP - 80 IS - 17 PB - Springer-Verlag UR - http://archive.numdam.org/item/SB_1974-1975__17__61_0/ LA - fr ID - SB_1974-1975__17__61_0 ER -
%0 Book Section %A Sabbagh, Gabriel %T Caractérisation algébrique des groupes de type fini ayant un problème de mots résoluble (théorème de Boone-Higman, travaux de B. H. Neumann et MacIntyre) %B Séminaire Bourbaki : vol. 1974/75, exposés 453-470 %A Collectif %S Séminaire Bourbaki %Z talk:457 %D 1976 %P 61-80 %N 17 %I Springer-Verlag %U http://archive.numdam.org/item/SB_1974-1975__17__61_0/ %G fr %F SB_1974-1975__17__61_0
Sabbagh, Gabriel. Caractérisation algébrique des groupes de type fini ayant un problème de mots résoluble (théorème de Boone-Higman, travaux de B. H. Neumann et MacIntyre), in Séminaire Bourbaki : vol. 1974/75, exposés 453-470, Séminaire Bourbaki, no. 17 (1976), Talk no. 457, 20 p. http://archive.numdam.org/item/SB_1974-1975__17__61_0/
[1] Relations diophantiennes et la solution négative du dixième problème d'Hilbert, Séminaire Bourbaki, exposé 383 (Novembre 1970), Lecture Notes in Math. n° 244, Springer-Verlag, 1971. | Numdam | MR | Zbl
-[2] Completing theories by forcing, Ann. Math. Logic, Vol. 2 (1970), 119-142. | MR | Zbl
et -[3] Word problems and recursively enumerable degrees of unsolvability. A sequel on finitely presented groups, Annals of Maths., Vol. 84 (1966), 49-84. | MR | Zbl
-[4] Decision problems about algebraic and logical systems as a whole and recursively enumerable degrees of unsolvability, in Contributions to Mathematical Logic (Hannover 1966), 13-36, North-Holland, Amsterdam, 1968. | MR | Zbl
-[5] An algebraic characterization of groups with soluble word problem, Journal Austral Math. Soc., à paraître. | Zbl
et -[6] On a problem of J. H. C. Whitehead and a problem cf Alonzo Church, Math. Scand., Vol. 19 (1966), 185-192. | MR | Zbl
et . -[7] Algèbre I, chapitres 1 à 3, Hermann, Paris, 1970. | MR | Zbl
-[8] The word problem, Annals of Maths., Vol. 77 (1963), 16-32. | MR | Zbl
-[9] Model theory, North-Holland, Amsterdam, 1973. | Zbl
et -[10] An embedding theorem for finitely generated groups, Proc. London Math. Soc., Vol. 17 (1967), 419-430. | MR | Zbl
-[11] Subgroups of finitely presented groups, Proc. of the Royal Society, A, Vol. 262 (1961), 455-475. | MR | Zbl
-[12] Embedding theorems for groups, J. London Math. Soc., Vol. 24 (1949), 247-254. | MR | Zbl
, et -[13] The omitting types theorem, à paraître dans un recueil édité par Morley (Carus).
-[14] Akad. Nauk S.S.S.R. (1956), 145-146.
- dans[15] Théorèmes de non-décidabilité, Séminaire Bourbaki, exposé 266 (février 1964), W. A. Benjamin, New York, 1966. | Numdam | MR | Zbl
-[16] Metamathematics and Algebra : An example in Proc. Int. Congress Phil. Sci., Stanford, 1960. | Zbl
-[17] On algebraically closed groups, Annals of Maths., Vol. 96 (1972), 53-97. | MR | Zbl
-[18] Omitting quantifier-free types in generic structures, Journ. of Symbolic Logic, Vol. 37 (1972), 512-520. | MR | Zbl
-[19] The metamathematics of algebraic systems, North-Holland, Amsterdam, 1971. | MR
-[20] Unsolvable word problems, in Word problems : decision problems and the Burnside problem in group theory, North-Holland, Amsterdam, 1973, 457-478. | MR | Zbl
et -[21] A note on algebraically closed groups, J. London Math. Soc., Vol. 27 (1952), 247-249. | MR | Zbl
-[22] The isomorphism problem for algebraically closed groups, in Word problems : decision problems and the Burnside problem in group theory, North-Holland, Amsterdam, 1973, 553-562. | MR | Zbl
-[23] Boolean powers of simple groups, Journ. Austral. Math. Soc., Vol. 5 (1965), 315-324. | MR | Zbl
et -[24] Recursive unsolvability of group theoretic problems, Annals of Maths., Vol. 67 (1958), 172-194. | MR | Zbl
-[25] Computable algebra, general theory and theory of computable fields, Trans. Amer. Math. Soc., Vol. 95 (1960), 341-360. | MR | Zbl
-[26] Non-standard models and independence of the induction axiom, in Essays on the foundations of Mathematics, Jerusalem, 1961, 287-299. | MR | Zbl
-[27] Finiteness conditions and generalized soluble groups, Part I, Springer, Berlin, 1972. | Zbl
-[28] The theory of groups : an introduction, second edition, Allyn and Bacon, Boston, 1973. | MR | Zbl
-[29] Algebraically closed groups, Proc. Amer. Math. Soc., Vol. 2 (1951), 118-121. | MR | Zbl
-[30] Group theory, Prentice-Hall, 1964. | MR | Zbl
-[31] Groupes discrets, Collège de France, 1968/1969.
-[32] The word problem for absolute presentations, J. London Math. Soc., Vol. 6 (1973), 275-280. [explicite le fait que les présentations "absolues" récursives de [22] ont un problème de mots résoluble ; notre exposé a utilisé implicitement la réciproque qui est triviale.] | MR | Zbl
-