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Original Articles

Generalizing a Rank Analogue of Hall's Theorem

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Pages 1997-2004 | Received 27 Nov 2010, Published online: 15 Jun 2012

REFERENCES

  • Fernandez-Alcober , G. A. , Morigi , M. ( 2009 ). Generalizing a theorem of P. Hall on finite-by-nilpotent groups . Proc. Amer. Soc. 137 : 425 – 429 .
  • Fernandez , G. A. , Moretó , A. ( 2002 ). A finiteness condition on normal subgroups of nilpotent groups . J. Group Theory 5 : 301 – 315 .
  • Hall , P. ( 1956 ). Finite-by-nilpotent groups . Proc. Camb. Phil. Soc. 52 : 611 – 616 .
  • Lubotzky , A. , Segal , D. ( 2003 ). Subgroup Growth . Basel : Birkhauser Verlag .
  • Makarenko , N. Yu. ( 2000 ). Rank analogs of Hall's and Bear's theorems . Siberian Mathematical Journal 41 : 1137 – 1140 .
  • Podoski , K. , Szegedy , B. ( 2005 ). Bounds for the index of the center in capable groups . Proc. Amer. Soc. 133 : 3441 – 3445 .
  • Communicated by A. Turull.

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