THE PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP
Abstract Let $X=GC$ be a group, where C is a cyclic group and G is either a generalized quaternion group or a dihedral group such that $C\cap G=1$ . In this paper, X is characterized and, moreover, a complete classification for $X$ is given, provided that G is a generalized quaternion group and C is core-free.
Authors
- Shaofei Du
- Hao Yu (ORCID: https://orcid.org/0000-0001-5271-576X)
- Wenjuan Luo (ORCID: https://orcid.org/0000-0003-3582-1215)
Institutions
- Capital Normal University (CN)
Publication Details
- Journal
- Journal of the Australian Mathematical Society
- Published
- 2024-11-11
- DOI
- https://doi.org/10.1017/s1446788724000181
- Citations
- 3
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 3.97