Every finitely generated Fischer group is finite
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- by Theodore S. Bolis
- Proc. Amer. Math. Soc. 42 (1974), 387-389
- DOI: https://doi.org/10.1090/S0002-9939-1974-0338183-9
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Abstract:
By a simple combinatorial argument, and using a result of Bruck, the Burnside problem is settled affirmatively for the class of Fischer 3-groups.References
- Yu. I. Manin, Kubicheskie formy: algebra, geometriya, arifmetika, Izdat. “Nauka”, Moscow, 1972 (Russian). MR 0360592
- Richard Hubert Bruck, A survey of binary systems, Reihe: Gruppentheorie, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0093552
- Bernd Fischer, Distributive Quasigruppen endlicher Ordnung, Math. Z. 83 (1964), 267–303 (German). MR 160845, DOI 10.1007/BF01111162
- V. D. Belousov, The structure of distributive quasigroups, Mat. Sb. (N.S.) 50 (92) (1960), 267–298 (Russian). MR 0120304
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 387-389
- MSC: Primary 20F05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0338183-9
- MathSciNet review: 0338183