Groups of infinite rank with a locally finite term in the lower central series

Beitrage zur Algebra und Geometrie

Volumn 56, Issue 2, 2015, Pages 735-741

  de Giovanni, Francesco ^a   Trombetti, Marco ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Lower central series; Pr fer rank; Strongly locally graded group

Indexed keywords

EID: 84940512367     PISSN: 01384821     EISSN: 21910383     Source Type: Journal    
DOI: 10.1007/s13366-014-0207-5     Document Type: Article

References (13)

1. Bruno, B., Phillips, R.E.: On minimal conditions related to Miller-Moreno type groups. Rend. Sem. Mat. Univ. Padova 69, 153–168 (1983)
2. Černikov, N.S.: Theorem on groups of finite special rank. Ukrain. Math. J. 42, 855–861 (1990)
3. De Falco, M., de Giovanni, F., Musella, C.: Groups whose proper subgroups of infinite rank have a transitive normality relation. Mediterr. J. Math. 10, 1999–2006 (2013)
4. De Falco, M., de Giovanni, F., Musella, C., Trabelsi, N.: Groups with restrictions on subgroups of infinite rank. Rev. Mat. Iberoamericana (to appear) (2014)
5. De Falco, M., de Giovanni, F., Musella, C., Trabelsi, N.: Groups whose proper subgroups of infinite rank have finite conjugacy classes. Bull. Austral. Math. Soc. 89, 41–48 (2014)
6. de Giovanni, F., Trombetti, M.: Groups whose proper subgroups of infinite rank have polycyclic conjugacy classes. Algebra Colloq., to appear (2014)
7. Dixon, M.R., Evans, M.J., Smith, H.: Locally soluble-by-finite groups of finite rank. J. Algebra 182, 756–769 (1996)
8. Dixon, M.R., Evans, M.J., Smith, H.: Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank. J. Pure Appl. Algebra 135, 33–43 (1999)
9. Dixon, M.R., Evans, M.J., Smith, H.: Groups with all proper subgroups (finite rank)-by-nilpotent. Arch. Math. (Basel) 72, 321–327 (1999)
10. Heineken, H., Mohamed, I.J.: A group with trivial centre satisfying the normalizer condition. J. Algebra 10, 368–376 (1968)
11. Lennox, J.C., Robinson, D.J.S.: The Theory of Infinite Soluble Groups. Clarendon Press, Oxford (2004)
12. Robinson, D.J.S.: Finiteness Conditions and Generalized Soluble Groups. Springer, Berlin (1972)
13. Trabelsi, N.: On minimal non-(torsion-by-nilpotent) and non-((locally finite)-by-nilpotent) groups. C. R. Acad. Sci. Paris 344, 353–356 (2007)