请输入您要查询的字词:

 

单词 ExampleOfFullyInvariantSubgroup
释义

example of fully invariant subgroup


The derived subgroup [G,G] is a fully invariant subgroup because if f is an endomorphismMathworldPlanetmathPlanetmathPlanetmathPlanetmath of G, then for each word of commutatorsMathworldPlanetmath [a1,b1][a2,b2][am,bm], we have

f([a1,b1][a2,b2][am,bm])=[fa1,fb1][fa2,fb2][fam,fbm][G,G]

i.e. the homomorphic imagePlanetmathPlanetmath of a word of commutators is a word of commutators.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 19:29:45