A proof of {Gross}' conjecture on $2$-automorphic $2$-groups
Group Theory
2024-12-10 v2
Abstract
Building upon previous results, a classification is given of finite -groups of which subgroups of order are all fused. This completes the classification problem dated back to Higman 1963 on the so-called Suzuki -groups, and confirms a conjecture of Gross proposed in 1974. As a consequence, two open problems on AT-groups and FIF-groups are solved.
Cite
@article{arxiv.2312.16416,
title = {A proof of {Gross}' conjecture on $2$-automorphic $2$-groups},
author = {Cai Heng Li and Yan Zhou Zhu},
journal= {arXiv preprint arXiv:2312.16416},
year = {2024}
}
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12 pages