Work

A proof of gross' conjecture on 2‐automorphic 2‐groups

Year: 2024

Type: article

Abstract: Building upon previous results, a classification is given of finite ‐groups whose elements of order are all fused. This particularly confirms a conjecture of Gross proposed in 1976 on 2‐automorphic 2‐groups, which are 2‐groups with involutions forming a single fusion class. As a consequence, two open problems regarding AT‐groups and FIF‐groups are solved.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.70002

Authors: Cai Heng Li, Yan Zhou Zhu

Institution: Southern University of Science and Technology

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G2232520099