Geodesic
Finite Alperin 2-groups with cyclic second commutants
Algebra i logika, Tome 50 (2011) no. 3, pp. 326-350.

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An Alperin group is a group in which every 2-generated subgroup has a cyclic commutant. Previously, we constructed examples of finite Alperin 2-groups with second commutant isomorphic to $Z_2$ or $Z_4$. Here, it is proved that for any natural $n$, there exists a finite Alperin 2-group whose second commutant is isomorphic to $Z_{2^n}$.
Mots-clés : 2-group, commutant
Keywords: Alperin group, representation of groups in terms of generators and defining relations. 
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     author = {B. M. Veretennikov},
     title = {Finite {Alperin} 2-groups with cyclic second commutants},
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B. M. Veretennikov. Finite Alperin 2-groups with cyclic second commutants. Algebra i logika, Tome 50 (2011) no. 3, pp. 326-350. http://geodesic.mathdoc.fr/item/AL_2011_50_3_a2/

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