Anti- CC-Groups and Anti-PC-Groups
A group G has Černikov classes of conjugate subgroups if the quotient group G/coreG(NG(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/coreG(NG(K)) which is a Černikov group. Analogously, a group...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/29423 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559032276090880 |
|---|---|
| author | Francesco Russo |
| author_facet | Francesco Russo |
| author_sort | Francesco Russo |
| collection | DOAJ |
| description | A group G has Černikov classes of conjugate subgroups if the quotient group G/coreG(NG(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/coreG(NG(K)) which is a Černikov group. Analogously, a group G has polycyclic-by-finite classes of conjugate subgroups if the quotient group G/coreG(NG(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/coreG(NG(K)) which is a polycyclic-by-finite group. Anti-CC groups and anti-PC groups are the subject of the present article. |
| format | Article |
| id | doaj-art-ccf4ac6aa46449a28a01ebaca01a59ef |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ccf4ac6aa46449a28a01ebaca01a59ef2025-02-03T01:30:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/2942329423Anti- CC-Groups and Anti-PC-GroupsFrancesco Russo0Department of Mathematics, Faculty of Mathematics, University of Naples, Via Cinthia, Naples 80126, ItalyA group G has Černikov classes of conjugate subgroups if the quotient group G/coreG(NG(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/coreG(NG(K)) which is a Černikov group. Analogously, a group G has polycyclic-by-finite classes of conjugate subgroups if the quotient group G/coreG(NG(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/coreG(NG(K)) which is a polycyclic-by-finite group. Anti-CC groups and anti-PC groups are the subject of the present article.http://dx.doi.org/10.1155/2007/29423 |
| spellingShingle | Francesco Russo Anti- CC-Groups and Anti-PC-Groups International Journal of Mathematics and Mathematical Sciences |
| title | Anti-
CC-Groups and Anti-PC-Groups |
| title_full | Anti-
CC-Groups and Anti-PC-Groups |
| title_fullStr | Anti-
CC-Groups and Anti-PC-Groups |
| title_full_unstemmed | Anti-
CC-Groups and Anti-PC-Groups |
| title_short | Anti-
CC-Groups and Anti-PC-Groups |
| title_sort | anti cc groups and anti pc groups |
| url | http://dx.doi.org/10.1155/2007/29423 |
| work_keys_str_mv | AT francescorusso anticcgroupsandantipcgroups |