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ฟิสิกส์และคณิตศาสตร์มหาวิทยาลัย => ปีสี่: Group Theory (2549) => Topic started by: เกียรติศักดิ์ on November 17, 2006, 12:01:49 AM



Title: Problem Set 3: Problem 6
Post by: เกียรติศักดิ์ on November 17, 2006, 12:01:49 AM
Show that, for an Abelian group, every element is in a class by itself.


Does this class has to be a conjugacy class in particular?

I can think of a way to show only if the group has both Abelian-ness and conjugacy. The former property seems to suggest that the questioner talks about a conjugacy class in this problem.


Title: Re: Problem Set 3: Problem 6
Post by: ปิยพงษ์ - Head Admin on November 17, 2006, 06:13:37 AM
Show that, for an Abelian group, every element is in a class by itself.


Does this class has to be a conjugacy class in particular?

...

We were talking about conjugacy classes.  8)


Title: Re: Problem Set 3: Problem 6
Post by: เกียรติศักดิ์ on November 17, 2006, 10:16:15 AM
Thank you. :)