Advertisement

Israel Journal of Mathematics

, Volume 10, Issue 4, pp 471–477 | Cite as

Regularp-groups

  • Avinoam Mann
Article

Abstract

Criteria for regularity of finitep-groups are derived. In particular, it is proved that regularity of ap-groupG depends only on the sections ofG of small class.

Keywords

Maximal Subgroup Minimal Normal Subgroup Abelian Maximal Subgroup Unique Minimal Normal Subgroup Proper Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. Brisley and I. D. MacDonald,Two classes of metabelian p-groups, Math. Z.112 (1969), 5–12.MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    P. Hall,A contribution to the theory of groups of prime power orders, Proc. London Math. Soc.36 (1933), 29–95.MATHCrossRefGoogle Scholar
  3. 3.
    P. Hall,On a theorem of Frobenius, Proc. London Math. Soc.40 (1936), 468–507.CrossRefGoogle Scholar
  4. 4.
    P. Hall,Verbal and marginal subgroups, J. Math.182 (1940), 156–157.MATHGoogle Scholar
  5. 5.
    C. R. Hobby,Nearly regular p-groups, Canad. J. Math.19 (1967), 520–522.MATHMathSciNetGoogle Scholar
  6. 6.
    B. Huppert,Endliche Gruppen I., Grud. Math.134, Berlin, 1967.Google Scholar
  7. 7.
    A. I. Kostrikin,The Burnside problem, Izv. Akad. Nauk SSSR Ser. Mat.23 (1959), 3–34 (Russian) [English translation, Amer. Math. Soc. Transl.36 (1964), 63–99].MATHMathSciNetGoogle Scholar
  8. 8.
    P. M. Weichsel,Regular p-groups and varieties, Math. Z.95 (1967), 223–231.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Hebrew University 1971

Authors and Affiliations

  • Avinoam Mann
    • 1
  1. 1.The Hebrew University of JerusalemIsrael

Personalised recommendations