Anti- CC -Groups and Anti- PC -Groups

Francesco Russo

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-11

Abstract:

A group G has Černikov classes of conjugate subgroups if the quotient group G / core G ( N G ( H ) ) is a Černikov group for each subgroup H of G . An anti- CC group G is a group in which each nonfinitely generated subgroup K has the quotient group G / core G ( N G ( K ) ) which is a Černikov group. Analogously, a group G has polycyclic-by-finite classes of conjugate subgroups if the quotient group G / core G ( N G ( H ) ) is a polycyclic-by-finite group for each subgroup H of G . An anti- PC group G is a group in which each nonfinitely generated subgroup K has the quotient group G / core G ( N G ( K ) ) which is a polycyclic-by-finite group. Anti- CC groups and anti- PC groups are the subject of the present article.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:029423

DOI: 10.1155/2007/29423

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