A Proof of Gross' Conjecture on $2$-Automorphic $2$-Groups
| Autor: | Li, Cai Heng, Zhu, Yan Zhou |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | Building upon previous results, a classification is given of finite $p$-groups of which subgroups of order $p$ are all fused. This completes the classification problem dated back to Higman 1963 on the so-called Suzuki $2$-groups, and confirms a conjecture of Gross proposed in 1974. As a consequence, two open problems on AT-groups and FIF-groups are solved. Comment: 11 pages |
| Databáze: | arXiv |
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