Bódi, Viktor (2020) Group algebra whose unit group is locally nilpotent. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 109 (1). pp. 17-23. ISSN 1446-7887
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Official URL: https://doi.org/10.1017/S1446788719000557
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Group algebra; unit group; Engel group; locally nilpotent group; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 25 Jan 2023 14:22 |
| Last Modified: | 25 Jan 2023 14:22 |
| URI: | http://real.mtak.hu/id/eprint/157307 |
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