Israel Journal of Mathematics

, Volume 41, Issue 3, pp 261–273 | Cite as

Nilpotent injectors in symmetric groups

  • Arie Bialostocki


AnN-Injector in an arbitrary finite groupG is defined as a maximal nilpotent subgroup ofG, containing a subgroupA ofG of maximal order satisfying class(A)>=2. Among other results theN-Injectors of Sym(n) are determined and shown to consist of a unique conjugacy class of subgroups of Sym(n).


Finite Group Conjugacy Class Symmetric Group Solvable Group Carter Subgroup 


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Copyright information

© Hebrew University 1982

Authors and Affiliations

  • Arie Bialostocki
    • 1
  1. 1.Department of Pure MathematicsTel Aviv UniversityRamat AvivIsrael

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