Extended cut groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913747204833280 |
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| author | García-Blàzquez, Àngel Kaur, Gurleen Maheshwary, Sugandha |
| author_facet | García-Blàzquez, Àngel Kaur, Gurleen Maheshwary, Sugandha |
| contents | A finite group G is said to be a cut group if all central units in the integral group ring ZG are trivial. In this article, we extend the notion of cut groups, by introducing extended cut groups. We study the properties of extended cut groups analogous to those known for cut groups and also characterise some substantial classes of groups having the property of being extended cut. A complete classification of extended cut split metacyclic groups has been presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15658 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extended cut groups García-Blàzquez, Àngel Kaur, Gurleen Maheshwary, Sugandha Group Theory Rings and Algebras 16S34, 16U60, 20C05, 20C15 A finite group G is said to be a cut group if all central units in the integral group ring ZG are trivial. In this article, we extend the notion of cut groups, by introducing extended cut groups. We study the properties of extended cut groups analogous to those known for cut groups and also characterise some substantial classes of groups having the property of being extended cut. A complete classification of extended cut split metacyclic groups has been presented. |
| title | Extended cut groups |
| topic | Group Theory Rings and Algebras 16S34, 16U60, 20C05, 20C15 |
| url | https://arxiv.org/abs/2503.15658 |