Groups of prime power order as Frobenius-Wielandt complements
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- by Carlo M. Scoppola PDF
- Trans. Amer. Math. Soc. 325 (1991), 855-874 Request permission
Abstract:
It is known that the Sylow subgroups of a Frobenius complement are cyclic or generalized quaternion. In this paper it is shown that there are no restrictions at all on the structure of the Sylow subgroups of the Frobenius-Wielandt complements that appear in the well-known Wielandt’s generalization of Frobenius’ Theorem. Some examples of explicit constructions are also given.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 325 (1991), 855-874
- MSC: Primary 20D15; Secondary 20C15, 20D40
- DOI: https://doi.org/10.1090/S0002-9947-1991-0998129-1
- MathSciNet review: 998129