A note on nilpotent-by-Černikov groups

Glasgow Mathematical Journal

Volumn 46, Issue 2, 2004, Pages 211-215

  Bruno, Brunella ^a   Napolitani, Franco ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042536551     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0017089504001703     Document Type: Article

References (12)

1. A. O. Asar, Locally nilpotent p-groups, J. London Math. Soc. (2) 61 (2000), 412-422.
2. B. Bruno and R. E. Phillips, A note on groups with nilpotent-by-finite proper subgroups, Arch. Math. (Basel) 65 (1995), 369-374.
3. J. D. Dixon, Complements of normal subgroups in infinite groups, Proc. London Math. Soc. (3) 17 (1967), 431-446.
4. M. R. Dixon, M. J. Evans and H. Smith, Groups with all proper subgroups nilpotent-by-finite rank, Arch. Math. (Basel) 75 (2000), 81-91.
5. B. Hartley, Periodic locally soluble groups containing an element of prime order with Černikov centralizer, Quart. J. Math. Oxford Ser. (2) 33 (1982), 309-323.
6. P. Hall, The Edmonton notes on nilpotent groups (Queen Mary College Mathematics Notes, 1969).
7. L. C. Lennox and S. E. Stonehewer, Subnormal subgroups of groups, Oxford Mathematical Monographs (Clarendon Press, Oxford, 1987).
8. F. V. Napolitani and E. Pegoraro, On groups with nilpotent-by- Černikov proper subgroups, Arch. Math. (Basel) 69 (1997), 89-94.
9. J. Otal and J. M. Peña, Groups in which every proper subgroup is Černikov-by-nilpotent or nilpotent-by-Černikov, Arch. Math. (Basel) 51 (1988), 193-197.
10. D. S. Passman, The algebraic theory of group rings (Wiley-Interscience, 1977).
11. D. J. S. Robinson, A course in the theory of groups (Springer-Verlag, 1982).
12. D. J. S. Robinson, Finiteness conditions and generalized soluble groups, Parts 1 and 2 (Springer-Verlag, 1972).