Groups of prime power order as Frobenius-Wielandt complements

Scoppola, Carlo M.

doi:10.1090/S0002-9947-1991-0998129-1

Groups of prime power order as Frobenius-Wielandt complements
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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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