Groups and Group Actions: Lecture 10

Theorem of the week 2018-03-12

Summary:

In which we think some more about homomorphisms, and meet normal subgroups. Proposition 45: Let  be a homomorphism.  Then there is  with  for all .  We proved this by defining  and then using the fact that  generates . Proposition 46: Let ,  be groups, let  be a homomorphism.  Then  is a subgroup of ; and  is a […]

Link:

https://theoremoftheweek.wordpress.com/2017/04/26/groups-and-group-actions-lecture-10-3/

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Online Mathematical Communication » Theorem of the week

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theoremoftheweek

Date tagged:

03/12/2018, 11:43

Date published:

04/26/2017, 07:48