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Metabelian varieties of groups

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References

  1. Garrett Birkhoff, "On the structure of abstract algebras", Proc. Cambridge Philos. Soc. 31 (1935), 433–454. FdM61,1026.

    CrossRef  MATH  Google Scholar 

  2. Warren Brisley, "On varieties of metabelian p-groups, and their laws", J. Austral. Math. Soc. 7 (1967), 64–80. MR34#7646.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Warren Brisley, "Varieties of metabelian p-groups of class p, p+1", J. Austral. Math. Soc. 12 (1971), 53–62. MR43#4890.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. M.S. Brooks, "On lattices of varieties of metabelian groups", J. Austral. Math. Soc. 12 (1971), 161–166. MR45#3526.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M.S. Brooks, "On varieties of metabelian groups of prime-power exponent", J. Austral. Math. Soc. 14 (1972), 129–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. R.A. Bryce, "Metabelian groups and varieties", Philos. Trans. Roy. Soc. London Ser. A 266 (1970), 281–355. MR42#349.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. R.A. Bryce and John Cossey, "Some product varieties of groups", Bull. Austral. Math. Soc. 3 (1970), 231–264. MR42#4618.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. D.E. Cohen, "On the laws of a metabelian variety", J. Algebra 5 (1967), 267–273. MR34#5929.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. P.M. Cohn, Universal algebra (Harper's series in modern mathematics. Harper and Row, New York, Evanston, London, 1965). MR31#224.

    MATH  Google Scholar 

  10. L.G. Kovács and M.F. Newman, "On non-Cross varieties of groups", J. Austral. Math. Soc. 12 (1971), 129–144. MR45#1966.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. B.H. Neumann, Special Topics in Algebra: Universal Algebra (Courant Institute of Mathematical Sciences, New York University, 1962).

    Google Scholar 

  12. Hanna Neumann, "Varieties of groups", Proc. Internat. Conf. Theory of Groups (Canberra, 1965), pp. 251–259 (Gordon and Breach, New York, London, Paris, 1967). MR35#6733.

    CrossRef  Google Scholar 

  13. Hanna Neumann, Varieties of groups (Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 37. Springer-Verlag, Berlin, Heidelberg, New York, 1967). MR35#6734.

    CrossRef  MATH  Google Scholar 

  14. Elizabeth A. Ormerod, "A non-distributive metabelian variety lattice", these Proc.

    Google Scholar 

  15. А.Л. Щмелькин [A.L. Šmel'kin], "Сплетения и многообразия групп" [Wreath products and varieties of groups], Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 149–170. MR33#1352.

    MathSciNet  Google Scholar 

  16. Paul M. Weichsel, "On metabelian p-groups", J. Austral. Math. Soc. 7 (1967), 55–63. MR34#7645.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1974 Springer-Verlag

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Bryce, R.A. (1974). Metabelian varieties of groups. In: Newman, M.F. (eds) Proceedings of the Second International Conference on The Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065166

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  • DOI: https://doi.org/10.1007/BFb0065166

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  • Print ISBN: 978-3-540-06833-4

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