传输像与π-商群

李艳艳; 靳平

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传输像与π-商群

更新时间：2026-09-14

- 传输像与π-商群
- 传输像与π-商群
- Issue 5, (2013)
- 作者机构：
  
  山西大学数学科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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李艳艳, 靳平. 传输像与π-商群[J]. 2013, (5).
DOI：

李艳艳, 靳平. 传输像与π-商群[J]. 2013, (5). DOI：

摘要

研究了Jr.S.M.Gagola和I.M.Isaacs在2008年对有限群G到其子群H的传输同态所定义的一个新的子群TG(H)

证明了当H为G的幂零的Hallπ-子群时

则TG(H)∩Oπ(G)=[H∩Oπ(G)

H].该结果补充了传输理论中的一个基本图表

还给出了Tate定理的一个更简单的群论证明.

Abstract

A new subgroup TG(H)was studied which was defined by Gagola and Isaacsin 2008 for the transfer homomorphism from a finite group G to its subgroup H.It is proved that when H is a nilpotent Hall π-subgroup of G thenTG(H)∩Oπ(G)=[H∩Oπ(G)

H].This result complements a basic diagram in the transfer theory and also offers a more simpler group-theoretic proof for Tate's theorem.

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