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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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by James G. Loveys and Frank O. Wagner PDF
Proc. Amer. Math. Soc. 118 (1993), 217-221 Request permission

Abstract:

We show that a simple group $G$ of finite Morley Rank acting faithfully on as divisible abelian group must be a linear group over some algebraically closed field.
References
  • Gregory Cherlin, Groups of small Morley rank, Ann. Math. Logic 17 (1979), no. 1-2, 1–28. MR 552414, DOI 10.1016/0003-4843(79)90019-6
  • L. J. Corredor, Gruppen von Endlichem Morley Rang, Ph. D. Thesis, Bonn, 1988.
  • Ch. Berline, Superstable groups; a partial answer to conjectures of Cherlin and Zil′ber, Ann. Pure Appl. Logic 30 (1986), no. 1, 45–61. Stability in model theory (Trento, 1984). MR 831436, DOI 10.1016/0168-0072(86)90036-9
  • Steven Buechler, The geometry of weakly minimal types, J. Symbolic Logic 50 (1985), no. 4, 1044–1053 (1986). MR 820131, DOI 10.2307/2273989
  • E. Hrushovski, Contributions to stable model theory, Ph. D. Thesis, Berkeley, 1986.
  • Ehud Hrushovski, Locally modular regular types, Classification theory (Chicago, IL, 1985) Lecture Notes in Math., vol. 1292, Springer, Berlin, 1987, pp. 132–164. MR 1033027, DOI 10.1007/BFb0082236
  • Sergei V. Ivanov and Alexander Yu. Ol′shanskii, Some applications of graded diagrams in combinatorial group theory, Groups—St. Andrews 1989, Vol. 2, London Math. Soc. Lecture Note Ser., vol. 160, Cambridge Univ. Press, Cambridge, 1991, pp. 258–308. MR 1123985, DOI 10.1017/CBO9780511661846.004
  • Bruno Poizat, Groupes stables, Nur al-Mantiq wal-Maʾrifah [Light of Logic and Knowledge], vol. 2, Bruno Poizat, Lyon, 1987 (French). Une tentative de conciliation entre la géométrie algébrique et la logique mathématique. [An attempt at reconciling algebraic geometry and mathematical logic]. MR 902156
  • —, À propos groupes stables, Logic Colloquium ’85 (The Paris Logic Group, ed.), North Holland, Amsterdam, 1987, pp. 245-265.
  • Joachim Reineke, Minimale Gruppen, Z. Math. Logik Grundlagen Math. 21 (1975), no. 4, 357–359 (German). MR 379179, DOI 10.1002/malq.19750210145
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 217-221
  • MSC: Primary 03C60; Secondary 03C45, 20A15
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1101987-0
  • MathSciNet review: 1101987