6533b862fe1ef96bd12c6c46
RESEARCH PRODUCT
Anti-$PC$-groups and Anti-$CC$-groups
Francesco G. Russosubject
Settore MAT/02 - AlgebraMathematics (miscellaneous)Article SubjectStereochemistryGroup (mathematics)Anti-$CC$-groups anti-$PC$-groups Chernikov groupslcsh:MathematicsSettore MAT/03 - Geometrialcsh:QA1-939Quotient groupConjugateMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 |