Groups whose proper subgroups are generalized FC-groups

Journal of Algebra and its Applications

Volumn 10, Issue 6, 2011, Pages 1301-1308

  Imperatore, D ^a   Russo, A ^b   Vincenzi, G ^c  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b SECOND UNIVERSITY OF NAPLES   (Italy)

^c UNIVERSITY OF SALERNO   (Italy)

Author keywords

Conjugacy class; generalized FC group; nilpotent group

Indexed keywords

EID: 84555206715     PISSN: 02194988     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021949881100518X     Document Type: Article

References (18)

1. V. V. Beljaev and N. F. Sesekin, On infinite groups of Miller-Moreno type, Acta Math. Acad. Sci. Hungar. 26 (1975) 369-376.
2. V. V. Beljaev, Groups of Miller-Moreno type, Sibirskii Math. Z (1978) 509-514.
3. B. Bruno and R. E. Phillips, Minimal non-FC-groups, Amer. Math. Soc. 2 (1980) 565 (Abstracts).
4. B. Bruno and R. E. Phillips, Groups with restricted non-normal subgroups, Math. Z. 176 (1981) 199-221.
5. S. N. Chernikov, Infinite non-abelian groups in which all infinite non-abelian subgroups are invariant, Ukrain. Mat. Z. 23 (1971) 498-518.
6. F. de Giovanni and G. Vincenzi, Pronormality in infinite groups, Proc. Roy. Irish Acad. 100 A (2000) 189-203.
7. F. de Giovanni, A. Russo and G. Vincenzi, Groups with restricted conjugacy classes, Serdica Math. J. 28 (2002) 241-254.
8. M. R. Dixon, Sylow theory, in Formations and Fitting Classes in Locally finite Groups (World Scientific, Singapore, 1994).
9. G. A. Miller and H. C. Moreno, Non abelian groups in which every subgroup is abelian, Trans. Amer. Math. Soc. 4 (1903) 398-404.
10. M. F. Newman and J. Wiegold, Groups with many nilpotent subgroups, Arch. Math. 15 (1964) 241-250.
11. D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups (Springer-Verlag, Berlin, 1972).
12. D. J. S. Robinson, A Course in the Theory of Groups (Springer-Verlag, Berlin, 1996).
13. D. J. S. Robinson, A. Russo and G. Vincenzi, On groups whose subgroups are closed in the profinite topology, J. Pure Appl. Algebra 213 (2009) 421-429.
14. D. J. S. Robinson, A. Russo and G. Vincenzi, On the theory of generalized FCgroups, J. Algebra 326 (2011) 218-226.
15. E. Romano and G. Vincenzi, Pronormality in generalized FC-groups, Bull. Aust. Math. Soc. 83(2) (2011) 220-230.
16. O. J. Schmidt, On groups every proper subgroup of which is special, Mat. Sb. (N.S.) 31 (1924) 366-372.
17. M. J. Tomkinson, FC-groups (Pitman, Boston, 1984).
18. M. J. Tomkinson, FC-groups: recent progress, Infinite Groups 1994 (de Gruyter, Berlin, 1996), pp. 271-285.