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Ap-group counterexample

✍ Scribed by Jonathan L. Alperin

Publisher
Springer-Verlag
Year
1962
Tongue
French
Weight
68 KB
Volume
78
Category
Article
ISSN
0025-5874

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Let G be a finite group and H be an operator group of G. Suppose that that G is solvable, if H acts non-trivially on G but acts trivially on all proper H-invariant subgroups in an appropriately chosen class subgroups. The detailed structure of such a group G is determined.