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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the equivalence of three local theorem techniques
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by K. K. Hickin and J. M. Plotkin PDF
Proc. Amer. Math. Soc. 35 (1972), 389-392 Request permission

Abstract:

A result formulated by P. Hall which is used in obtaining local theorems in group theory is shown to be equivalent to the projection set theorem of Kuroš and to the existence of Malcev vectors for local systems.
References
  • J. D. Halpern and A. Lévy, The Boolean prime ideal theorem does not imply the axiom of choice. , Axiomatic Set Theory (Proc. Sympos. Pure Math., Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967) Amer. Math. Soc., Providence, R.I., 1971, pp. 83–134. MR 0284328
  • A. G. Kurosh, The theory of groups, Chelsea Publishing Co., New York, 1960. Translated from the Russian and edited by K. A. Hirsch. 2nd English ed. 2 volumes. MR 0109842
  • A. Mal′cev, On a general method for obtaining local theorems in group theory, Ivanov. Gos. Ped. Inst. Uč. Zap. Fiz.-Mat. Fak. 1 (1941), no. 1, 3–9 (Russian). MR 0075939
  • D. H. McLain, Local theorems in universal algebras, J. London Math. Soc. 34 (1959), 177–184. MR 104608, DOI 10.1112/jlms/s1-34.2.177
  • Abraham Robinson, On the construction of models, Essays on the foundations of mathematics, Magnes Press, Hebrew Univ., Jerusalem, 1961, pp. 207–217. MR 0162719
  • Derek J. S. Robinson, Infinite soluble and nilpotent groups, Queen Mary College Mathematics Notes, Queen Mary College, London, 1967. MR 0269740
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 389-392
  • MSC: Primary 20E25
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0302765-9
  • MathSciNet review: 0302765