A Proof of Gross' Conjecture on $2$-Automorphic $2$-Groups
Autor: | Li, Cai Heng, Zhu, Yan Zhou |
---|---|
Rok vydání: | 2023 |
Předmět: | |
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 |
Externí odkaz: |