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Higher dimension subgroups

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Groups — Korea 1988

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1398))

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References

  1. F. Bachmann and L.Gruenenfelder, ‘Homological methods and the third dimension subgroup', Comment. Math. Helv. 47, 526–531.

    Google Scholar 

  2. S. Bachmuth (1965), ‘Automorphisms of free metabelian groups', Trans. Amer. Math. Soc. 118, 93–104.

    Article  MathSciNet  MATH  Google Scholar 

  3. Otto, Grün (1936), ‘Über die Faktorgruppen freier Gruppen I', Deutsche Math. (Jahrgang 1), 6, 772–782.

    MATH  Google Scholar 

  4. N.D. Gupta, A.W. Hales and I.B.S. Passi (1984), ‘Dimension subgroups of metabelian groups', J. reine angew. Math. 346, 194–198.

    MathSciNet  MATH  Google Scholar 

  5. Narain Gupta (1982), ‘On the dimension subgroups of metabelian groups', J. Pure Appl. Algebra 24, 1–6.

    Article  MathSciNet  MATH  Google Scholar 

  6. Narain Gupta (1987)a, ‘Sjogren's theorem for dimension subgroups — the metabelian case', Annals of Math. Study 111, 197–211, Princeton University Press.

    MATH  Google Scholar 

  7. Narain Gupta (1987)b, ‘Free Group Rings', Contemporary Math. 66, Amer. Math. Soc.

    Google Scholar 

  8. Narain Gupta (1988), ‘Dimension subgroups of metabelian p-groups', J. Pure Appl. Algebra 51, 241–249.

    Article  MathSciNet  MATH  Google Scholar 

  9. Narain Gupta (1988), ‘A theorem of Sjogren and Hartley on dimension subgroups', Publ. Math. Debrecen, to appear.

    Google Scholar 

  10. Narain Gupta and Ken-Ichi Tahara (1985), ‘Dimension and lower central subgroups of metabelian p-groups', Nagoya Math. J. 100, 127–133.

    Article  MathSciNet  MATH  Google Scholar 

  11. B. Hartley (1982), Dimension and lower central subgroups — Sjogren's theorem revisited, Lecture notes 9, National University of Singapore.

    Google Scholar 

  12. Gerald Rosey (1974), ‘N-series and the filteration of the augmentation ideal', Canad. J. Math, 26, 962–977.

    Article  MathSciNet  Google Scholar 

  13. Wilhelm Magnus (1937), ‘Über Beziehungen zwischen höheren kommutatoren', J. reine angew. Math. 177, 105–115.

    MathSciNet  MATH  Google Scholar 

  14. Wilhelm Magnus (1939), ‘On a theorem of Marshall Hall', Ann. Math. (Ser. II) 40, 764–768.

    MathSciNet  MATH  Google Scholar 

  15. Wilhelm Magnus, Abraham Karrass and Donald Solitar (1966), Combinatorial group theory, Interscience Publ. Co. New York.

    Google Scholar 

  16. I.B.S. Passi (1968), ‘Dimension subgroups', J. Algebra, 9, 152–182.

    Article  MathSciNet  MATH  Google Scholar 

  17. Inder Bir S. Passi (1979), Group rings and their augmentation ideals, Lecture Notes in Math. 715, Springer-Verlag.

    Google Scholar 

  18. E. Rips, ‘On the fourth integer dimension subgroup', Israel J. Math. 12, 342–346.

    Google Scholar 

  19. Frank Röhl (1985), ‘Review and some critical comments on a paper of Grün concerning the dimension subgroup conjecture', Pol. Soc. Pras. Mat. 16, 11–27.

    MATH  Google Scholar 

  20. Robert Sandling (1972), ‘The dimension subgroup problem', J. Algebra 21, 216–231.

    Article  MathSciNet  MATH  Google Scholar 

  21. Ken-Ichi Tahara (1977), ‘On the structure of Q 3(G) and the fourth dimension subgroup', Japan J. Math. (N.S.) 3, 381–396.

    MathSciNet  MATH  Google Scholar 

  22. Ken-Ichi Tahara (1981), ‘The augmentation quotients of group rings and the fifth dimension subgroups', J. Algebra 71, 141–173.

    Article  MathSciNet  MATH  Google Scholar 

  23. E. Witt (1937), ‘Treue Darstellung Liesche Ringe', J. reine angew. Math. 177, 152–160.

    MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, Canada

    Narain Gupta

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  1. Narain Gupta
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Editor information

Ann Chi Kim Bernhard H. Neumann

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© 1989 Springer-Verlag

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Gupta, N. (1989). Higher dimension subgroups. In: Kim, A.C., Neumann, B.H. (eds) Groups — Korea 1988. Lecture Notes in Mathematics, vol 1398. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086243

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  • DOI: https://doi.org/10.1007/BFb0086243

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51695-8

  • Online ISBN: 978-3-540-46756-4

  • eBook Packages: Springer Book Archive

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