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https://dspace.kmf.uz.ua/jspui/handle/123456789/1307| Title: | Group algebras whose unit group is locally nilpotent |
| Authors: | Victor Bovdi Бовді Віктор Bódi Viktor |
| Keywords: | unit group;group algebra;locally nilpotent group;Engel group;egységcsoport;csoportalgebra;lokálisan nilpotens csoport;Engel csoport |
| Issue Date: | 7-May-2020 |
| Publisher: | Cambridge University Press |
| Type: | dc.type.researchArticle |
| Citation: | Victor Bovdi: Group algebras whose unit group is locally nilpotent. In Journal of the Australian Mathematical Society. 2020. Volume 109., Issue 1. pp. 17-23. |
| Series/Report no.: | ;Volume 109., Issue 1. |
| Abstract: | Abstract. We present a complete list of groups G and fields F for which: (i) the group of normalized units V(FG) of the group algebra FG is locally nilpotent; (ii) the set of nontrivial nilpotent elements of FG is finite and nonempty, and V(FG) is an Engel group. |
| Description: | https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/group-algebras-whose-unit-group-is-locally-nilpotent/482C5F244EBD8211FAFC0A920468E758 |
| URI: | http://dspace.kmf.uz.ua:8080/jspui/handle/123456789/1307 |
| ISSN: | 1446-7887 (Print) 1446-8107 (Online) |
| metadata.dc.rights.uri: | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ |
| Appears in Collections: | Bódi Viktor |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Bovdi_V_Group_algebras_whose_unit_group_is_locally_nilpotent_2020.pdf | Victor Bovdi: Group algebras whose unit group is locally nilpotent. In Journal of the Australian Mathematical Society. 2020. Volume 109., Issue 1. pp. 17-23. | 1.7 MB | Adobe PDF | View/Open |
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