Skip to main content
Log in

The π-separability of certain factorizable groups

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Arad (Ardinast), Z., Glauberman, G.: A characteristic subgroup of a group of odd order. Pacific J. Math.56 (2), 305–319 (1975)

    Google Scholar 

  2. Berkovič, Ja. G.: Generalization of the theorems of Carter and Wielandt. Soviet Math., Doklady7, 1525–1529 (1966)

    Google Scholar 

  3. Feit, W., Thompson, J.G.: Solvability of groups of odd order. Pacific J. Math.13, 775–1029 (1963)

    Google Scholar 

  4. Glauberman, G.: Fixed point subgroups that contain centralizers of involutions. Math. Z.124, 353–360 (1972)

    Google Scholar 

  5. Glauberman, G.: Unpublished

  6. Goldschmidt, D.M.: A group theoretic proof of thep a q b theorem for odd primes. Math. Z.113, 373–375 (1970)

    Google Scholar 

  7. Goldschmidt, D.M.: 2-Fusion in finite groups. Ann. of Math., II. Sec.99, 70–117 (1974)

    Google Scholar 

  8. Gorenstein, D.: Finite groups. New York: Harper and Row 1968

    Google Scholar 

  9. Huppert, B., Ito, N.: Über die Auflösbarkeit faktorisierbarer Gruppen, II. Math. Z.61, 94–99 (1954)

    Google Scholar 

  10. Ito, N.: On factorizable groups. In: Representation theory of finite groups and related topics, Proceedings of Symposia in Pure Mathematics. Vol. XXI. (Madison 1970). pp. 77–83. Providence: American Mathematical Society 1971

    Google Scholar 

  11. Ito, N.: On factorizable groups. Symposia Mathematica Vol. XIII. Convegno di Gruppi e loro Rappresentazioni, INDAM, (Roma 1972). pp. 357–366. London: Academic Press 1974

    Google Scholar 

  12. Kegel, O.H.: Produkte nilpotenter Gruppen. Illinois J. Math.12, 90–93 (1961)

    Google Scholar 

  13. Knap, L.E.: Sufficient conditions for the solvability of factorizable groups. J. Algebra38, 136–145 (1976)

    Google Scholar 

  14. Scott, W.R.: Group theory. Englewood Cliffs: Prentice-Hall 1964

    Google Scholar 

  15. Szèp, J.: Zur Theorie der faktorisierbaren Gruppen. Acta Sci. math.16, 54–57 (1955)

    Google Scholar 

  16. Szèp, J.: Sui gruppi fattorizzabili. Rend. Sem. mat. fis. Milano38, 228–230 (1968)

    Google Scholar 

  17. Wielandt, H.: Über Produkte von nilpotenten Gruppen. Illinois J. Math.2, 611–618 (1958)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rowley, P.J. The π-separability of certain factorizable groups. Math Z 153, 219–228 (1977). https://doi.org/10.1007/BF01214475

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214475

Keywords

Navigation