Large Abelian subgroups of $p$-groups
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- by J. L. Alperin PDF
- Trans. Amer. Math. Soc. 117 (1965), 10-20 Request permission
References
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J. L. Alperin, Two $p$-group counterexamples, Abstract 579-15, Notices Amer. Math. Soc. 8 (1961), 160.
W. Burnside, On some properties of groups whose orders are powers of primes, Proc. London Math. Soc. (2) 11 (1912), 225-245; ibid. (2) 13 (1913), 6-12.
P. Hall, A contribution to the theory of groups of prime-power order, Proc. London Math. Soc. (2) 36 (1932), 29-95.
- P. Hall and Graham Higman, On the $p$-length of $p$-soluble groups and reduction theorems for Burnside’s problem, Proc. London Math. Soc. (3) 6 (1956), 1–42. MR 72872, DOI 10.1112/plms/s3-6.1.1
- A. J. Weir, Sylow $p$-subgroups of the classical groups over finite fields with characteristic prime to $p$, Proc. Amer. Math. Soc. 6 (1955), 529–533. MR 72143, DOI 10.1090/S0002-9939-1955-0072143-9
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 117 (1965), 10-20
- MSC: Primary 20.30
- DOI: https://doi.org/10.1090/S0002-9947-1965-0170946-4
- MathSciNet review: 0170946