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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 236, Pages 124–128 (Mi znsl15)  
Embedding properties of non-primary subgroups of the symmetric group of degree eight

V. I. Mysovskikha, A. I. Skopinb

a Saint-Petersburg State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: The paper is devoted to investigation of some subgroup embedding properties for 110 subgroups of the symmetric group on eight letters. We deal with those non-primary subgroups whose degree is exactly eight. The results were obtained by using of the computer algebra system GAP. They are summarized in a form of the table. We found out that every polynormal subgroup is at the same time also paranormal.
Received: 22.10.1997
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 2, Pages 2119–2122
DOI: https://doi.org/10.1007/BF02169971
Bibliographic databases:
UDC: 512.542.6
Language: Russian
Citation: V. I. Mysovskikh, A. I. Skopin, “Embedding properties of non-primary subgroups of the symmetric group of degree eight”, Problems in the theory of representations of algebras and groups. Part 5, Zap. Nauchn. Sem. POMI, 236, POMI, St. Petersburg, 1997, 124–128; J. Math. Sci. (New York), 95:2 (1999), 2119–2122
Citation in format AMSBIB
\Bibitem{MysSko97}
\by V.~I.~Mysovskikh, A.~I.~Skopin
\paper Embedding properties of non-primary subgroups of the symmetric group of degree eight
\inbook Problems in the theory of representations of algebras and groups. Part~5
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 236
\pages 124--128
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl15}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754453}
\zmath{https://zbmath.org/?q=an:0929.20006}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 2
\pages 2119--2122
\crossref{https://doi.org/10.1007/BF02169971}
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