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NILPOTENT SUBGROUPS OF GROUPS WITH ALL SUBGROUPS SUBNORMAL

Published online by Cambridge University Press:  24 March 2003

CARLO CASOLO
CARLO CASOLO
Affiliation:
Dipartimento di Matematica, ‘Ulisse Dini’, Università a di Firenze, I-50134 Firenze, [email protected]
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Abstract

It is proved that in groups with all subgroups subnormal every nilpotent subgroup is contained in a normal nilpotent subgroup.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 15 - 22
Copyright
© The London Mathematical Society 2003

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Footnotes

This work is a contribution to MURST project ‘Teoria dei gruppi e applicazioni’.