Cut Groups: The Progress And The Problems
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909610435149824 |
|---|---|
| author | Chahal, Seema Maheshwary, Sugandha |
| author_facet | Chahal, Seema Maheshwary, Sugandha |
| contents | This article focuses on the study of cut groups, i.e., the groups which have only trivial central units in their integral group ring. We provide state of art for cut groups. The results are compiled in a systematic manner and have also been analogously studied for some generalised classes, such as quadratic rational groups and semi-rational groups etc. For these bigger classes, some results have been extended, while others have been posed as questions. The progress and the problems signify the development and the potential that holds in the topic of cut groups and its generalisations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09281 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cut Groups: The Progress And The Problems Chahal, Seema Maheshwary, Sugandha Rings and Algebras Group Theory Representation Theory 20-02, 20B05, 16U60, 20C15, 20C05 This article focuses on the study of cut groups, i.e., the groups which have only trivial central units in their integral group ring. We provide state of art for cut groups. The results are compiled in a systematic manner and have also been analogously studied for some generalised classes, such as quadratic rational groups and semi-rational groups etc. For these bigger classes, some results have been extended, while others have been posed as questions. The progress and the problems signify the development and the potential that holds in the topic of cut groups and its generalisations. |
| title | Cut Groups: The Progress And The Problems |
| topic | Rings and Algebras Group Theory Representation Theory 20-02, 20B05, 16U60, 20C15, 20C05 |
| url | https://arxiv.org/abs/2505.09281 |