Ukrainian Mathematical Journal

, Volume 44, Issue 6, pp 741–745 | Cite as

Complementability conditions for a periodic almost solvable subgroup in the group containing it

  • S. N. Chernikov
  • N. S. Chernikov


It is proved that if every prime Sylow subgroup of a periodic almost solvable (more generally, periodic W0-) subgroup H of a group G has a complement in G and if, moreover, H is at most countable and the set Π(H) is finite, the subgroup H itself possesses a complement in G.


Sylow Subgroup Complementability Condition Solvable Subgroup 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • S. N. Chernikov
    • 1
  • N. S. Chernikov
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the UkraineKiev

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