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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.

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On Burnside’s problem
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by R. C. Lyndon PDF
Trans. Amer. Math. Soc. 77 (1954), 202-215 Request permission
References
  • Reinhold Baer, The higher commutator subgroups of a group, Bull. Amer. Math. Soc. 50 (1944), 143–160. MR 9954, DOI 10.1090/S0002-9904-1944-08081-6
  • W. Burnside, On an unsettled question in the theory of discontinuous groups, Quart. J. Math. vol. 33 (1902) pp. 230-238. K. T. Chen, R. H. Fox, and R. C. Lyndon, On the quotient groups of the lower central series (to appear).
  • Ralph H. Fox, Free differential calculus. II. The isomorphism problem of groups, Ann. of Math. (2) 59 (1954), 196–210. MR 62125, DOI 10.2307/1969686
  • J. A. Green, On groups with odd prime-power exponent, J. London Math. Soc. 27 (1952), 476–485. MR 50580, DOI 10.1112/jlms/s1-27.4.476
  • P. Hall, A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) vol. 36 (1934) pp. 29-95. F. Levi and B. L. van der Waerden, Über eine besondere Klasse von Gruppen, Abh. Math. Sem. Hansischen Univ. vol. 9 (1932) pp. 154-158.
  • Wilhelm Magnus, Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring, Math. Ann. 111 (1935), no. 1, 259–280 (German). MR 1512992, DOI 10.1007/BF01472217
  • —, Über beziehungen zwischen höheren Kommutatoren, J. Reine Angew. Math. vol. 177 (1937) pp. 105-115.
  • Wilhelm Magnus, A connection between the Baker-Hausdorff formula and a problem of Burnside, Ann. of Math. (2) 52 (1950), 111–126. MR 38964, DOI 10.2307/1969512
  • E. Witt, Treue Darstellung Liescher Ringe, J. Reine Angew. Math. vol. 177 (1937) pp. 152-160.
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Additional Information
  • © Copyright 1954 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 77 (1954), 202-215
  • MSC: Primary 20.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1954-0064049-X
  • MathSciNet review: 0064049