Finite factorizable groups with solvable K₿sup>2-subnormal subgroups
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  • 作者：I. K. Chirik
  • 关键词：finite group ; solvable group ; KP2 ; subnormal group
  • 刊名：Mathematical Notes
  • 出版年：2016
  • 出版时间：January 2016
  • 年：2016
  • 卷：99
  • 期：1-2
  • 页码：116-119
  • 全文大小：579 KB
  • 参考文献：1.V. S. Monakhov, “Factorable groups with solvable factors of odd indices,” in Investigation of the Normal and Subgroup Structure of Finite Groups (Nauka i Tekhnika, Minsk, 1984), pp. 105–111 [in Russian].
    2.A. F. Vasil’ev, T. I. Vasil’eva, and V. N. Tyutyanov, “On the products of P-subnormal subgroups of finite groups,” Sibirsk. Mat. Zh. 53 (1), 59–67 (2012) [Sib.Math. J. 53 (1), 47–54 (2012)].MathSciNet MATH
    3.V. N. Knyagina and V. S. Monakhov, “Finite factorizable groups with solvable P2-subnormal subgroups,” Sibirsk. Mat. Zh. 54 (1), 77–85 (2013) [Sib.Math. J. 54 (1), 56–63 (2013)].MathSciNet
    4.A. F. Vasil’ev, T. I. Vasil’eva, and V. N. Tyutyanov, “On K-P-subnormal subgroups of finite groups,” Mat. Zametki 95 (4), 517–528 (2014) [Math. Notes 95 (3–4), 471–480 (2014)].MathSciNet CrossRef MATH
    5.V. S. Monakhov, Introduction to the Theory of Finite Groups and Their Classes (Vysheïshaya Shkola, Minsk, 2006) [in Russian].
    6.B. Huppert, Endliche Gruppen. I, in Grundlehren Math. Wiss. (Springer-Verlag, Berlin, 1990), Vol. 134.
    7.V. S. Monakhov and V. N. Kniahina, “Finite group with P-subnormal subgroups,” Ric. Mat. 62 (2), 307–322 (2013).MathSciNet CrossRef MATH
  • 作者单位：I. K. Chirik (1)

    1. Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus, Minsk, Belarus
  • 刊物类别：Mathematics and Statistics
  • 刊物主题：Mathematics
    Mathematics
    Russian Library of Science
  • 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
  • ISSN：1573-8876
文摘
The solvability of any finite group of the form G = AB is established under the assumption that the subgroups A and B are solvable and KP2-subnormal in the group G.
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