Geodesic
A compatibility condition for the embedding problem with $p$-extension
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 100-105
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Embedding problems with a group and its Sylow $p$-subgroup over a $p$-extension are considered. A Faddeev–Hasse compatibility condition for this problem are studied. It is proved that the compatibility condition for the problems considered are equivalent if the kernel is a supersolvable group or the Sylow $p$-subgroup is an invariant subgroup. 
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     title = {A compatibility condition for the embedding problem with $p$-extension},
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V. V. Ishkhanov; B. B. Lur'e. A compatibility condition for the embedding problem with $p$-extension. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 100-105. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a10/

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