Search results for "Chernikov groups"

showing 3 items of 3 documents

The nonabelian tensor product of two soluble minimax groups

2010

Settore MAT/02 - AlgebraChernikov groups soluble minimax groups nonabelian tensor productsSettore MAT/03 - Geometria
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A generalization of groups with many almost normal subgroups

2010

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.

Settore MAT/02 - AlgebraDietzmann classeanti-$\mathfrak{X}C$-groupChernikov groups.Settore MAT/03 - Geometriagroups with $\mathfrak{X}$-classes of conjugate subgroup
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Anti-$PC$-groups and Anti-$CC$-groups

2007

A groupGhas Černikov classes of conjugate subgroups if the quotient groupG/coreG(NG(H))is a Černikov group for each subgroupHofG. An anti-CCgroupGis a group in which each nonfinitely generated subgroupKhas the quotient groupG/coreG(NG(K))which is a Černikov group. Analogously, a groupGhas polycyclic-by-finite classes of conjugate subgroups if the quotient groupG/coreG(NG(H))is a polycyclic-by-finite group for each subgroupHofG. An anti-PCgroupGis a group in which each nonfinitely generated subgroupKhas the quotient groupG/coreG(NG(K))which is a polycyclic-by-finite group. Anti-CCgroups and anti-PCgroups are the subject of the present article.

Settore MAT/02 - AlgebraMathematics (miscellaneous)Article SubjectStereochemistryGroup (mathematics)Anti-$CC$-groups anti-$PC$-groups Chernikov groupslcsh:MathematicsSettore MAT/03 - Geometrialcsh:QA1-939Quotient groupConjugateMathematics
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