Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 3, Tome 211 (1994), pp. 127-132
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V. V. Ishkhanov; B. B. Lur'e. On the embedding problem with non-Abelian kernel of order $p^4$. V. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 3, Tome 211 (1994), pp. 127-132. http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a8/
@article{ZNSL_1994_211_a8,
author = {V. V. Ishkhanov and B. B. Lur'e},
title = {On the embedding problem with {non-Abelian} kernel of order~$p^4${.~V}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {127--132},
year = {1994},
volume = {211},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a8/}
}
TY - JOUR
AU - V. V. Ishkhanov
AU - B. B. Lur'e
TI - On the embedding problem with non-Abelian kernel of order $p^4$. V
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 127
EP - 132
VL - 211
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a8/
LA - ru
ID - ZNSL_1994_211_a8
ER -
%0 Journal Article
%A V. V. Ishkhanov
%A B. B. Lur'e
%T On the embedding problem with non-Abelian kernel of order $p^4$. V
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 127-132
%V 211
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_211_a8/
%G ru
%F ZNSL_1994_211_a8
A survey of solvability conditions for the embedding problem of number fields, in which the kernel is a non-Abelian group of order $p^4$, is completed. As a kernel, the two $2$-groups with two generators $a,b$ and with the following relations are considered: $a^8=1$, $b^2=1$, $[a,b]=a^{-2}$ in the first group, and $a^8=1$, $b^2=a^4$, $[a,b]=a^2$ in the second. Bibliography: 7 titles.
