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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.06594 |
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| _version_ | 1866929339414609920 |
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| author | Steinberg, Benjamin |
| author_facet | Steinberg, Benjamin |
| contents | I explicitly compute the Eilenberg-Mac Lane homology of a completely simple semigroup using topological means. I also complete Gray and Pride's investigation into the homological finiteness properties of completely simple semigroups, as well as studying their topological finiteness properties. I give a topological proof of Pride's unpublished homological lower bound for the deficiency of a monoid or semigroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06594 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The homology of completely simple semigroups Steinberg, Benjamin Group Theory 20M50, 20M05 I explicitly compute the Eilenberg-Mac Lane homology of a completely simple semigroup using topological means. I also complete Gray and Pride's investigation into the homological finiteness properties of completely simple semigroups, as well as studying their topological finiteness properties. I give a topological proof of Pride's unpublished homological lower bound for the deficiency of a monoid or semigroup. |
| title | The homology of completely simple semigroups |
| topic | Group Theory 20M50, 20M05 |
| url | https://arxiv.org/abs/2405.06594 |