Geodesic
GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 529-534

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DOI

It is shown that if G is a hypercentral group with all subgroups subnormal, and if the torsion subgroup of G is a π-group for some finite set π 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.
DOI : 10.1017/S0017089512000134
Mots-clés : 20E15, 20F19 
SMITH, HOWARD. GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 529-534. doi: 10.1017/S0017089512000134
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     title = {GROUPS {THAT} {INVOLVE} {FINITELY} {MANY} {PRIMES} {AND} {HAVE} {ALL} {SUBGROUPS} {SUBNORMAL} {II}},
     journal = {Glasgow mathematical journal},
     pages = {529--534},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000134},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000134/}
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