《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (4): 23-30.doi: 10.6040/j.issn.1671-9352.0.2023.252
曹建基(
),王俊新*(),白鹏飞
Jianji CAO(),Junxin WANG*(),Pengfei BAI
摘要：
一个有限群G上的斜态射为G的一个置换φ，满足φ(1)=1且φ(gh)=φ(g)φπ(g)(h)对任意g, h ∈ G均成立，其中π为G到集合{1, 2, …, d-1}的一个函数且d为φ的阶。若对任意的g ∈ G都有π(g)=1，则φ为G的自同构。因此斜态射为群的自同构的推广。若对任意g ∈ G都有π(φ(g))=π(g), 则斜态射φ被称为光滑斜态射。本文研究了一类蕴含交换极大子群的极大类3-群上的光滑斜态射，并给出了其完全分类。
中图分类号:
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