Geodesic
Finite 2-groups in which the set of self-centralizing abelian normal subgroups with at least three generators is empty ($SCN_3(2)=\varnothing$)
Izvestiya. Mathematics , Tome 7 (1973) no. 2, pp. 247-280

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In this paper we study finite 2-groups in which each abelian normal subgroup is metacyclic, i.e. $SCN_3(2)=\varnothing$. The main result: a finite 2-group with $SCN_3(2)=\varnothing$ is an extension of a metacyclic group by a group isomorphic to a subgroup of the dihedral group of order 8. 
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     author = {A. D. Ustyuzhaninov},
     title = {Finite 2-groups in which the set of self-centralizing abelian normal subgroups with at least three generators is empty ($SCN_3(2)=\varnothing$)},
     journal = {Izvestiya. Mathematics },
     pages = {247--280},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1973_7_2_a0/}
}
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A. D. Ustyuzhaninov. Finite 2-groups in which the set of self-centralizing abelian normal subgroups with at least three generators is empty ($SCN_3(2)=\varnothing$). Izvestiya. Mathematics , Tome 7 (1973) no. 2, pp. 247-280. http://geodesic.mathdoc.fr/item/IM2_1973_7_2_a0/