Sufficient conditions for the solvability of a finite group
- 30 Downloads
In this paper we study factorizable groups. An extension of a famous theorem of H. Wielandt on groups factorizable by two nilpotent subgroups of relatively prime orders is obtained. We also present a variant of a theorem of A. Gonçalves and C. Y. Ho.
KeywordsSolvable groups Products of subgroups
Mathematics Subject Classification20D10 20D40 20F16
Unable to display preview. Download preview PDF.
We are really grateful to the referee for very careful reading a previous version of this paper and for the insightful suggestions that contributed greatly to improve and simplify the article.
- 9.Suzuki, M.: Group Theory I and II. Springer, Berlin (1980)Google Scholar