Article contents
Subgroups of locally finite productsof locally nilpotent groups
Published online by Cambridge University Press: 01 October 1999
Abstract
Let the locally finite group G be the product of two locally nilpotent subgroups A and B, and assume that H is a subgroup of G belonging to a group classℱ . The question is considered whether there exists a subgroup X of G containing H which belongs to ℱ and satisfies $X=(X\capA)(X\capB)$. Under various assumptions on G and ℱ, necessary and sufficient conditions for the existence of such a subgroup X are obtained.
- Type
- Research Article
- Information
- Copyright
- 1999 Glasgow Mathematical Journal Trust
- 1
- Cited by