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Groups with complemented nonmodular subgroups

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Abstract

We give the structure of finite groups belonging to some families defined by conditions of complementation.

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References

  1. Barysovec P.P.,Finite nonabelian groups with complemented nonabelian subgroups, Ukranian Math. J.,29 (1977), 541–544.

    MathSciNet  Google Scholar 

  2. Casolo C.,Gruppi finiti risolubili in cui tutti i sottogruppi subnormali hanno difetto al più due, Rend. Sem. Mat. Univ. Padova,70 (1984), 257–272.

    MathSciNet  Google Scholar 

  3. Černikov S.N.,Groups with systems of complemented subgroups, Amer. Math. Soc. Transl., (2),17 (1954), 117–152.

    Google Scholar 

  4. Christensen C.,Complementation in groups, Math. Z.,84 (1964), 52–69.

    Article  MATH  MathSciNet  Google Scholar 

  5. Christensen C.,Groups with complemented normal subgroups, Journal London Math. Soc.,42 (1967), 208–216.

    Article  MATH  MathSciNet  Google Scholar 

  6. Doerk K.,Minimal nicht überauflösbare, endliche Gruppen, Math. Z.,91 (1966), 198–205.

    Article  MATH  MathSciNet  Google Scholar 

  7. Gorchakov, Yu. M.; Sheriev, V.A.Finite groups, all of whose noninvariant subgroups are complemented, Sib. Math. Zh., (6),6 (1965), 1234–1253.

    MATH  Google Scholar 

  8. Hall P.,Complemented groups, Journal London Math. Soc.,12 (1937), 201–204.

    Article  MATH  Google Scholar 

  9. Huppert B.,Endliche Gruppen I, Springer-Verlag, New York, Berlin, Heidelberg, 1967.

    MATH  Google Scholar 

  10. Huppert B.,Zur Sylowstruktur auflösbarer Gruppen, Arch. Math.,12 (1961), 161–169.

    Article  MATH  MathSciNet  Google Scholar 

  11. Napolitani F.,Gruppi finiti minimali non modulari, Rend. Sem. Mat. Univ. Padova,45 (1971), 229–248.

    MathSciNet  MATH  Google Scholar 

  12. Rossanigo A., Zambelli V.,Sull’esistenza di complemento quasi-normale per sottogruppi non normali in un gruppo finito, Rend. Sc. Mat. e Appl. dell’Ist. Lombardo,130 (1996), 309–322.

    MathSciNet  Google Scholar 

  13. Schmidt R.,Subgroup lattices of groups, de Gruyter Expositions in Mathematics 14, Berlin, New York, 1994.

  14. Scott W. R.,Group Theory, Prentice-Hall Inc., Englewood Cliffs New Yersey, 1964.

    MATH  Google Scholar 

  15. Sheriev V.A.,Finite 2-groups with complemented noninvariant subgroups, Sib. Math. Zh., (1),8 (1967), 147–160.

    Article  Google Scholar 

  16. Suzuki M.,Structure of a group and the structure of its lattice of subgroups, Springer-Verlag, Berlin, Göttingen, Heidelberg, 1956.

    MATH  Google Scholar 

  17. Suzuki M.,Group theory II, Springer-Verlag, New York, Berlin, Heidelberg, 1986.

    MATH  Google Scholar 

  18. Sysak Ja.P.,Finite elementarily factorizable groups, Ukranian Math. J.,29 (1977), 51–58.

    Article  MATH  MathSciNet  Google Scholar 

  19. Walls G.L.,Non normal are normally complemented, Journal of Indian Mathematical Society (N.S.),44 (1980), 67–81.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstraße 1 1/2, 91054, Erlangen, Germany

    Maurizio Valsecchi

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  1. Maurizio Valsecchi
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The author was supported by Istituto Nazionale di Alta Matematica “Francesco Severi” - Rome.

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Valsecchi, M. Groups with complemented nonmodular subgroups. Rend. Circ. Mat. Palermo 53, 129–152 (2004). https://doi.org/10.1007/BF02921432

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