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Original Articles

ON PARTIALLY SATURATED FORMATIONS AND RESIDUALS OF FINITE GROUPS

Pages 4125-4137 | Received 01 Mar 2001, Published online: 01 Feb 2007

REFERENCES

  • Shemetkov , L. A. 1970 . On the Existence of π-Complements for Normal Subgroups of Finite Groups . Soviet Math. Dokl. , 11 ( 6 ) : 1436 – 1438 . translated from Dokl. Akad. Nauk SSSR. 1970, 195, (1), 50–52
  • Shemetkov , L. A. 1972 . Formation Properties of Finite Groups . Soviet Math. Dokl. , 13 ( 3 ) : 851 – 855 . translated from Dokl. Akad. Nauk SSSR, 1972, 204, (6), 1324–1327
  • Shemetkov , L. A. 1974 . Graduated Formations of Groups . Math. USSR Sbornik. , 23 ( 4 ) : 593 – 611 . translated from Mat. Sbornik. 1974, 23, (4), 593–611
  • Doerk , K. and Hawkes , T. 1992 . Finite Soluble Groups 891 Berlin-New York : Walter de Gruyter .
  • Shemetkov , L. A. 1997 . Frattini Extensions of Finite Groups and Formations . Comm. Algebra. , 25 ( 3 ) : 955 – 964 .
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  • Shemetkov , L. A. and Skiba , A. N. 2000 . Multiply ω-Local Formations and Fitting Classes of Finite Groups . Siberian Advances in Mathematics. , 10 ( 2 ) : 112 – 141 . translated from Matem. Trudy. 1999, 2, (2), 114–147
  • Shemetkov , L. A. and Skiba , A. N. 2000 . Multiply L-Composition Formations of Finite Groups . Ukrainsk. Mat. Zh. , 52 ( 6 ) : 783 – 797 . (Russian)
  • Huppert , B. 1967 . Endliche Gruppen I 793 Berlin-Heidelberg-New York : Springer-Verlag .
  • Shemetkov , L. A. 1984 . On the Product of formations . Dokl. Akad. Nauk BSSR. , 28 ( 2 ) : 101 – 103 . (Russian)
  • Förster , P. and Salomon , E. 1985 . Local Definitions of Local Homomorphs and Formations of Finite Groups . Bull. Austral. Math. Soc. , 31 : 5 – 34 .
  • Ballester-Bolinches , A. and Shemetkov , L. A. 1997 . On Lattices of p-Local Formations of Finite Groups . Math. Nachr. , 186 : 57 – 65 .
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  • Shemetkov , L. A. On p-Composition Formations of Finite Groups . Proceedings of the International Conference dedicated to the memory of S.A. Chunikhin . Sept 19–24 1995 , Gomel , Belarus . Problems of Algebra and Cybernetics, Part 1: Algebra and Theory of Numbers , Edited by: Shemetkov , L. A. , Gruntov , P. S. , Maximey , I. V. , Monakhov , V. S. and Rusakov , S. A. pp. 146 – 147 . Gomel : F. Scorina Gomel State University .
  • Shemetkov , L. A. 1981 . Screens of the Products of Formations . Dokl. Akad. Nauk BSSR. , 25 ( 8 ) : 677 – 680 . (Russian)
  • Shemetkov , L. A. 1978 . Formations of Finite Groups 272 Moscow : Nauka . (Russian)
  • Gaschütz , W. 1952 . Zur Erweiterungstheorie der endlichen Gruppen . J. Reine Angew. Math. , 190 : 93 – 107 .
  • Schmid , P. 1973 . Formationen und Automorphismengruppen . J. London Math. Soc. , 7 : 83 – 94 .

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