6533b831fe1ef96bd12989d3
RESEARCH PRODUCT
A generalization of groups with many almost normal subgroups
Francesco Russosubject
Settore MAT/02 - AlgebraDietzmann classeanti-$\mathfrak{X}C$-groupChernikov groups.Settore MAT/03 - Geometriagroups with $\mathfrak{X}$-classes of conjugate subgroupdescription
A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $G$. A classic result of B. H. Neumann informs us that $|G : Z(G)|$ is finite if and only if each $H$ is almost normal in $G$. Starting from this result, we investigate the structure of a group in which each non- finitely generated subgroup satisfies a property, which is weaker to be almost normal.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 |