On sublattices of the lattice of multiply saturated formations of finite groups.

Authors

  • I. N. Safonova Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus
  • V.G. Safonov Department of Mathematics and Mechanics, Belarusian State University, Minsk, Belarus

Keywords:

Formation of finite groups, formation σ-function, σ-local formation, σ-multiply σ-local formations, lattice of formations

Abstract

All groups considered are finite. We use terminology and notations from [1]–[3].

References

A.N. Skiba, On one generalization of the local formations, Prob. Phys. Math.Tech. 34 (2018), no 1, 79–82.

Z. Chi, V.G. Safonov, A.N. Skiba, On one application of the theory of n-multiply ?-local formations of finite groups, Prob. Phys. Math.Tech. 35 (2018), no 2, 85–88.

Z. Chi, V.G. Safonov, A.N. Skiba, On ..-multiply ..-local formations of finite groups, Comm. in Algebra. 47 (2019), no. 3, 957–968.

L. A. Shemetkov, Formations of finite groups, Moscow, Nauka, Main Editorial Board for Physical and Mathematical Literature, 1978.

A.N. Skiba Algebra of formations, Belarus. Navuka, Minsk, 1997.

K. Doerk, T. Hawkes, Finite Soluble Groups, Walter de Gruyter, Berlin, New York, 1992.

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