Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

THE CONJUGATION OF SYLOW ${\pi}-SUBGROUPS$ ON PERIODIC LOCALLY CC-GROUPS

  • KI-YANG PARK (Department of Mathematics Education Seowon university)
  • Published : 1997.03.01

⟨ Previous Next ⟩

Abstract

We will study the generalization of theorems on the pe-riodic locally - solvable FC-groups to the theorems on the periodic locally-solvable CC-groups. The main theorem is the Theorem A. For the proof the inverse limit of inverse system and topological ap-proch developed by Dixon is useful.

Keywords

References

  1. Sylow subgroups of Groups with Cernikov conjugacy classes J. Alcazar;J. Otal.
  2. Glasgow Math. J. v.23 Some Topological Properties of Residually Cernikov Groups M. R. Dixon
  3. Proc. Camb. phil. soc. v.59 On non-strictly simple groups P. Hall
  4. Proc. London Math. Soc. v.43 no.2 On the Sylow Systems of a Soluble Group P. Hall
  5. Proc. London Math. v.23 no.3 Sylow Subgroups of Locally Finite Groups B. Hartley
  6. Locally Finite Groups O. H. Kegel;B. A. F. Wehrfritz
  7. Proc. London Math. Soc. v.30 no.3 Formation theory in Locally Finite Groups A. A. Klimowicz
  8. A note on the Periodic Locally Solvable FC-groups Park Ki Yang
  9. A Course in the Theory of Groups D.J.S. Robinson
  10. Finiteness Conditions and Generalized Soluble Groups v.1;2 D. J. S. Robinson
  11. Queen Marry Colege Mathematics Notes Infinite soluble and nilpotent subgroups D. J. S. Robinson
  12. Local conjugacy in some classes of locally finite groups Shin Hyun Yong
  13. Compositio. Math. v.30 Conjugacy Theorems for a class of locally finite Lie algebra I. Stewart
  14. Arch der Math. v.16 Locally - slouble FC-groups S. E. Stonehewer
  15. Alg. Rogika v.10 On the conjugacy of the Sylow p - subgroups in SF - groups V. P. Sunkov
  16. Generalized formations of locally - soluble FC - groups M. J. Tomkinson
  17. FC - groups M. J. Tomkinson