Geodesic
On Frobenius pairs of the form $(F\leftthreetimes V,V)$
Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 165-179
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A nonsimplicity test for groups is obtained which is connected with certain Frobenius pairs. In the case of finite groups it is a natural complement to Glauberman's familiar $Z^*$-theorem. Bibliography: 10 titles. 
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V. P. Shunkov. On Frobenius pairs of the form $(F\leftthreetimes V,V)$. Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 165-179. http://geodesic.mathdoc.fr/item/SM_1991_68_1_a8/

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