四元群
the automorphism group and holomorph of quaternion group(in generalized sense)
(广义)四元数群的自同构群及其全形
Applying the theories of abstract groups and permutation groups, the following results are obtained: ( 1) If a finite group G acts transitively on all the minimal subgroups by conjugation, G is then a cyclic p-group or a generalized quaternion.
运用抽象群和置换群的理论得到:(1)如果有限群G共轭作用在它的所有极小子群上传递,G一定是循环p-群或广义四元数群;
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