Geodesic
On the $p$-length of finite $p$-soluble groups
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 93-96

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Finite $p$-soluble groups with maximal subgroups of $p$-length 1 are investigated. It is proved that a finite $p$-soluble group is of $p$-length 1 if its Sylow $p$-subgroup is extraspecial and is isomorphic to a normal Sylow $p$-subgroup of a minimal non-supersoluble group of odd order. 
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L. A. Shemetkov; Yi Xiaolan. On the $p$-length of finite $p$-soluble groups. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 93-96. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a15/