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Normal series of soluble groups of finite rank

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References

  1. H. Abold undW. Plesken, Ein Sylowsatz für endlichep-Untergruppen vonGL (n, ℤ). Math. Ann.232, 183–186 (1978).

    Google Scholar 

  2. J. F. Bowers, On composition series of polycyclic groups. J. London Math. Soc. (1)35, 433–444 (1960).

    Google Scholar 

  3. J. F. Bowers, Completely infinite groups. Proc. London Math. Soc. (3)28, 595–613 (1974).

    Google Scholar 

  4. J. F. Bowers andS. E. Stonehewer, A theorem of Mal'cev on periodic subgroups of soluble groups. Bull. London Math. Soc.5, 323–324 (1973).

    Google Scholar 

  5. K. A. Hirsch, On infinite soluble groups I. Proc. London Math. Soc. (2)44, 53–60 (1938).

    Google Scholar 

  6. K. A. Hirsch, On infinite soluble groups II. Proc. London Math. Soc. (2)44, 336–344 (1938).

    Google Scholar 

  7. K. A. Hirsch, On infinite soluble groups IV. J. London Math. Soc. (1)27, 81–85 (1952).

    Google Scholar 

  8. J. A.Hulse, Generators for subgroups of wreath products. Preprint.

  9. A. I. Mal'cev, On certain classes of infinite soluble groups. Mat. Sb. (N. S.)28, 567–588 (1951) and Amer. Math. Soc. Transl. (2)2, 1–21 (1956).

    Google Scholar 

  10. M. L. Newell, Subgroups with almost-complements. J. London Math. Soc. (2)6, 761–768 (1973).

    Google Scholar 

  11. D. J. S.Robinson, Finiteness conditions and generalised soluble groups 1. Ergeb. Math. Grenzgeb.62, Berlin 1972.

  12. B. L.van der Waerden, Modern algebra 1. English translation, New York 1949.

  13. G. Zappa, Sui gruppi di Hirsch supersolubili I. Rend. Sem. Mat. Univ. Padova12, 1–11 (1941).

    Google Scholar 

  14. G. Zappa, Sui gruppi di Hirsch supersolubili II. Rend. Sem. Mat. Univ. Padova12, 62–80 (1941).

    Google Scholar 

  15. G. Zappa, Sui sottogruppi finiti dei gruppi di Hirsch. Giorn. Mat. Battaglini78, 55–70 (1948–9).

    Google Scholar 

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To K. A. Hirsch on his 80th birthday

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Bowers, J.F. Normal series of soluble groups of finite rank. Arch. Math 46, 289–298 (1986). https://doi.org/10.1007/BF01200458

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