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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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/
@article{ZNSL_1997_236_a10,
author = {V. V. Ishkhanov and B. B. Lur'e},
title = {A compatibility condition for the embedding problem with $p$-extension},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {100--105},
year = {1997},
volume = {236},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a10/}
}
TY - JOUR
AU - V. V. Ishkhanov
AU - B. B. Lur'e
TI - A compatibility condition for the embedding problem with $p$-extension
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 100
EP - 105
VL - 236
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a10/
LA - ru
ID - ZNSL_1997_236_a10
ER -
%0 Journal Article
%A V. V. Ishkhanov
%A B. B. Lur'e
%T A compatibility condition for the embedding problem with $p$-extension
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 100-105
%V 236
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a10/
%G ru
%F ZNSL_1997_236_a10
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.
