V. V. Ishkhanov, B. B. Lur'e, “On the embedding problem with non-Abelian kernel of order $p^4$. V”, Problems in the theory of representations of algebras and groups. Part 3, Zap. Nauchn. Sem. POMI, 211, Nauka, St. Petersburg, 1994, 127–132; J. Math. Sci., 83:5 (1997), 642

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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 211, Pages 127–132 (Mi znsl5883)

This article is cited in 1 scientific paper (total in 1 paper)

On the embedding problem with non-Abelian kernel of order $p^4$. V

V. V. Ishkhanov, B. B. Lur'e

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences

Full-text PDF (356 kB) Citations (1)

Abstract: 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.

Received: 15.06.1993

English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 5, Pages 642–645
DOI: https://doi.org/10.1007/BF02434851

Bibliographic databases:

Document Type: Article

UDC: 539.12

Language: Russian

Citation: V. V. Ishkhanov, B. B. Lur'e, “On the embedding problem with non-Abelian kernel of order $p^4$. V”, Problems in the theory of representations of algebras and groups. Part 3, Zap. Nauchn. Sem. POMI, 211, Nauka, St. Petersburg, 1994, 127–132; J. Math. Sci., 83:5 (1997), 642–645

Citation in format AMSBIB

\Bibitem{IshLur94}

\by V.~V.~Ishkhanov, B.~B.~Lur'e

\paper On the embedding problem with non-Abelian kernel of order~$p^4$.~V

\inbook Problems in the theory of representations of algebras and groups. Part~3

\serial Zap. Nauchn. Sem. POMI

\yr 1994

\vol 211

\pages 127--132

\publ Nauka

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl5883}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1333878}

\zmath{https://zbmath.org/?q=an:0867.12002|0871.12005}

\transl

\jour J. Math. Sci.

\yr 1997

\vol 83

\issue 5

\pages 642--645

\crossref{https://doi.org/10.1007/BF02434851}

Linking options:

https://www.mathnet.ru/eng/znsl5883

https://www.mathnet.ru/eng/znsl/v211/p127

Cycle of papers

On embedding problem with nonabelian kernel of the order
V. V. Ishkhanov, B. B. Lur'e
Zap. Nauchn. Sem. LOMI, 1989, 175, 46–62
On embedding problem with nonabelian kernel of the order $p^4$. II
V. V. Ishkhanov, B. B. Lur'e
Zap. Nauchn. Sem. LOMI, 1991, 191, 101–113
On embedding problem with nonabelian kernel of the order $p^4$. III
V. V. Ishkhanov, B. B. Lur'e
Zap. Nauchn. Sem. LOMI, 1991, 198, 20–27
On the embedding problem with non-Abelian kernel of order $p^4$. IV
V. V. Ishkhanov, B. B. Lur'e
Zap. Nauchn. Sem. POMI, 1994, 211, 120–126
On the embedding problem with non-Abelian kernel of order $p^4$. V
V. V. Ishkhanov, B. B. Lur'e
Zap. Nauchn. Sem. POMI, 1994, 211, 127–132
On the embedding problem with noncommutative kernel of order $p^4$. VI
V. V. Ishkhanov, B. B. Lur'e
Zap. Nauchn. Sem. POMI, 1995, 227, 74–82

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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