@article {Mysovskikh:December 2002:1072-3374:4398, author = "Mysovskikh V.I.", author = "Skopin A.I.", title = "Subgroup Embeddings in the Symmetric Group of Degree Nine", journal = "Journal of Mathematical Sciences", volume = "112", year = "December 2002", abstract = "
This paper is devoted to the determination of embedding properties of all nonprimary subgroups of the symmetric group on nine letters and continues previous investigations of the authors. The above-mentioned subgroups were tested for the following properties: abnormality, pronormality, paranormality, their weak analogs, weak normality, and the subnormalizer condition. The technique of Burnside marks, as well as respective information on the table of marks of S_9 from the TOM library of the computer algebra package GAP (Groups, Algorithms and Programming), were used. The subgroups of prime-power orders were not considered, because many of the above-mentioned concepts coincide for such subgroups. The total number of subgroups considered turned out to be 432. Bibliography: 18 titles.
", pages = "4398-4399(2)", url = "http://www.ingentaconnect.com/content/klu/joth/2002/00000112/00000004/00455644" }