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Israel Journal of Mathematics

, Volume 10, Issue 2, pp 158–159 | Cite as

Generators of 2-groups

  • Avinoam Mann
Article

Abstract

LetG be a finite 2-group. If each normal abelian subgroup ofG can be generated byd elements, then each subgroup ofG can be generated byd 2+1/2d(d+1) elements.

Keywords

Group Theory Induction Hypothesis Automorphism Group Simple Group Slight Improvement 
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.

References

  1. 1.
    B. Huppert,Endiche Gruppen I, Springer-Verlag, Berlin, 1967.Google Scholar
  2. 2.
    A. R. McWilliams,On 2-groups with no normal abelian subgroups of rank 3, and their occurence as Sylow 2-subgroups of finite simple groups, Trans. Amer. Math. Soc.150 (1970), 345–408.CrossRefMathSciNetGoogle Scholar

Copyright information

© The Weizmann Science Press of Israel 1971

Authors and Affiliations

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

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