A remark on the intersection of the conjugates of the base of quasi-HNN groups
Quasi-HNN groups can be characterized as a generalization of HNN groups. In this paper, we show that if G∗ is a quasi-HNN group of base G, then either any two conjugates of G are identical or their intersection is contained in a conjugate of an associated subgroup of G.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204309191 |
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doaj-118cf0eef1ca449e8a7c02aeb5ff56592020-11-24T22:01:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004251293129710.1155/S0161171204309191A remark on the intersection of the conjugates of the base of quasi-HNN groupsR. M. S. Mahmood0Ajman University of Science and Technology, P.O. Box 5102, Abu Dhabi, United Arab EmiratesQuasi-HNN groups can be characterized as a generalization of HNN groups. In this paper, we show that if G∗ is a quasi-HNN group of base G, then either any two conjugates of G are identical or their intersection is contained in a conjugate of an associated subgroup of G.http://dx.doi.org/10.1155/S0161171204309191 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. M. S. Mahmood |
| spellingShingle |
R. M. S. Mahmood A remark on the intersection of the conjugates of the base of quasi-HNN groups International Journal of Mathematics and Mathematical Sciences |
| author_facet |
R. M. S. Mahmood |
| author_sort |
R. M. S. Mahmood |
| title |
A remark on the intersection of the conjugates of the base of
quasi-HNN groups |
| title_short |
A remark on the intersection of the conjugates of the base of
quasi-HNN groups |
| title_full |
A remark on the intersection of the conjugates of the base of
quasi-HNN groups |
| title_fullStr |
A remark on the intersection of the conjugates of the base of
quasi-HNN groups |
| title_full_unstemmed |
A remark on the intersection of the conjugates of the base of
quasi-HNN groups |
| title_sort |
remark on the intersection of the conjugates of the base of
quasi-hnn groups |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2004-01-01 |
| description |
Quasi-HNN groups can be characterized as a generalization of HNN
groups. In this paper, we show that if G∗ is a quasi-HNN
group of base G, then either any two conjugates of G are
identical or their intersection is contained in a conjugate of
an associated subgroup of G. |
| url |
http://dx.doi.org/10.1155/S0161171204309191 |
| work_keys_str_mv |
AT rmsmahmood aremarkontheintersectionoftheconjugatesofthebaseofquasihnngroups AT rmsmahmood remarkontheintersectionoftheconjugatesofthebaseofquasihnngroups |
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