Generalized Free Products of Residually $P$-Finite Groups
In this note, we characterize the residual p-finiteness of generalized free products and tree products of certain residually p-finite groups with non-trivial center amalgamating infinite cyclic subgroups and the tree products of certain one-relator groups. We then apply our results to tree products...
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| Format: | Article |
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2006
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| Online Access: | http://shdl.mmu.edu.my/2068/ |
| _version_ | 1848789955670704128 |
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| author | Wong, P.C. Tang, C.K. Gan, H.W. |
| author_facet | Wong, P.C. Tang, C.K. Gan, H.W. |
| author_sort | Wong, P.C. |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | In this note, we characterize the residual p-finiteness of generalized free products and tree products of certain residually p-finite groups with non-trivial center amalgamating infinite cyclic subgroups and the tree products of certain one-relator groups. We then apply our results to tree products of finitely generated torsion-free nilpotent groups and free groups. |
| first_indexed | 2025-11-14T18:04:57Z |
| format | Article |
| id | mmu-2068 |
| institution | Multimedia University |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:04:57Z |
| publishDate | 2006 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-20682011-08-10T07:10:02Z http://shdl.mmu.edu.my/2068/ Generalized Free Products of Residually $P$-Finite Groups Wong, P.C. Tang, C.K. Gan, H.W. QA Mathematics In this note, we characterize the residual p-finiteness of generalized free products and tree products of certain residually p-finite groups with non-trivial center amalgamating infinite cyclic subgroups and the tree products of certain one-relator groups. We then apply our results to tree products of finitely generated torsion-free nilpotent groups and free groups. 2006 Article NonPeerReviewed Wong, P.C. and Tang, C.K. and Gan, H.W. (2006) Generalized Free Products of Residually $P$-Finite Groups. Rocky Mountain Journal of Mathematics, 36 (5). pp. 1729-1742. ISSN 0035-7596 http://dx.doi.org/10.1216/rmjm/1181069394 doi:10.1216/rmjm/1181069394 doi:10.1216/rmjm/1181069394 |
| spellingShingle | QA Mathematics Wong, P.C. Tang, C.K. Gan, H.W. Generalized Free Products of Residually $P$-Finite Groups |
| title | Generalized Free Products of Residually $P$-Finite Groups |
| title_full | Generalized Free Products of Residually $P$-Finite Groups |
| title_fullStr | Generalized Free Products of Residually $P$-Finite Groups |
| title_full_unstemmed | Generalized Free Products of Residually $P$-Finite Groups |
| title_short | Generalized Free Products of Residually $P$-Finite Groups |
| title_sort | generalized free products of residually $p$-finite groups |
| topic | QA Mathematics |
| url | http://shdl.mmu.edu.my/2068/ http://shdl.mmu.edu.my/2068/ http://shdl.mmu.edu.my/2068/ |