浙江大学学报（理学版）2025，Vol.52Issue(6)：685-689,5.DOI:10.3785/j.issn.1008-9497.2025.06.002
从广义四元数群到有限群的同态数
The number of homomorphisms from generalized quaternion groups to any finite groups
摘要
Abstract
Automorphism groups and normal subgroups of generalized quaternion groups are studied using the group homomorphism,and the number of homomorphisms from generalized quaternion groups to any finite groups is calculated.As an application of this result,the conjecture of ASAI and YOSHIDA is verified to be valid for generalized quaternion groups.关键词
广义四元数群/群同态数/自同构群Key words
generalized quaternion groups/the number of homomorphisms/automorphism groups分类
数理科学引用本文复制引用
谭婕,张良..从广义四元数群到有限群的同态数[J].浙江大学学报（理学版）,2025,52(6):685-689,5.基金项目
国家自然科学基金面上项目(12471021) （12471021）
新疆维吾尔自治区自然科学基金项目(2022D01C334) （2022D01C334）
科研创新团队培育计划重点项目(CXZK2021017). （CXZK2021017）
