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THE PRODUCT OF A GENERALIZED QUATERNION GROUP AND A CYCLIC GROUP
Part of
- Representation theory of groups
- Permutation groups
SHAOFEI DU, WENJUAN LUO, HAO YU
Journal:

Journal of the Australian Mathematical Society , First View

Published online by Cambridge University Press:

11 November 2024, pp. 1-34
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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.