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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.

 

Normalizers of system normalizers
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by J. L. Alperin PDF
Trans. Amer. Math. Soc. 113 (1964), 181-188 Request permission
References
    P. Hall, A note on soluble groups, J. London Math. Soc. 3 (1928), 98-105. —, A characteristic property of soluble groups, J. London Math. Soc. 12 (1937), 198-200. —, On the Sylow systems of a soluble group, Proc. London Math. Soc. (2) 43 (1937), 316-323. —, On the system normalizers of a soluble group, Proc. London Math. Soc. (2) 43 (1937), 507-528.
  • P. Hall, The construction of soluble groups, J. Reine Angew. Math. 182 (1940), 206–214. MR 2877, DOI 10.1515/crll.1940.182.206
  • R. W. Carter, On a class of finite soluble groups, Proc. London Math. Soc. (3) 9 (1959), 623–640. MR 114859, DOI 10.1112/plms/s3-9.4.623
  • R. W. Carter, Nilpotent self-normalizing subgroups and system normalizers, Proc. London Math. Soc. (3) 12 (1962), 535–563. MR 140570, DOI 10.1112/plms/s3-12.1.535
  • Hans J. Zassenhaus, The theory of groups, Chelsea Publishing Co., New York, 1958. 2nd ed. MR 0091275
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 113 (1964), 181-188
  • MSC: Primary 20.25; Secondary 20.40
  • DOI: https://doi.org/10.1090/S0002-9947-1964-0172914-4
  • MathSciNet review: 0172914