GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II
Publication Date
2012
Description
It is shown that if G is a hypercentral group with all subgroups subnormal, and if the torsion subgroup of G is a pi-group for some finite set pi of primes, then G is nilpotent. In the case where G is not hypercentral there is a section of G that is much like one of the well-known Heineken-Mohamed groups. It is also shown that if G is a residually nilpotent group with all subgroups subnormal whose torsion subgroup satisfies the above condition then G is nilpotent.
Journal
Glasgow Mathematical Journal
Volume
54
Issue
3
First Page
529
Last Page
534
Department
Mathematics
Link to Published Version
Recommended Citation
Smith, Howard. "GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II." Glasgow Mathematical Journal (2012) : 529-534.
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