Sylowizers in locally finite groups
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- by M. J. Tomkinson PDF
- Proc. Amer. Math. Soc. 46 (1974), 195-198 Request permission
Abstract:
A result of W. Gaschütz for finite soluble groups is extended to two classes of locally finite, locally soluble groups.References
- A. D. Gardiner, B. Hartley, and M. J. Tomkinson, Saturated formations and Sylow structure in locally finite groups, J. Algebra 17 (1971), 177–211. MR 272897, DOI 10.1016/0021-8693(71)90029-9
- Wolfgang Gaschütz, Sylowisatoren, Math. Z. 122 (1971), no. 4, 319–320. MR 401914, DOI 10.1007/BF01110166
- B. Hartley, Sylow theory in locally finite groups, Compositio Math. 25 (1972), 263–280. MR 316557 D. J. S. Robinson, Finiteness conditions and generalized soluble groups. I, Springer-Verlag, Berlin and New York, 1972.
- M. J. Tomkinson, Formations of locally soluble $FC$-groups, Proc. London Math. Soc. (3) 19 (1969), 675–708. MR 260881, DOI 10.1112/plms/s3-19.4.675
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 195-198
- MSC: Primary 20E25
- DOI: https://doi.org/10.1090/S0002-9939-1974-0349848-7
- MathSciNet review: 0349848