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April 26th, 2018, 01:44 PM  #1 
Senior Member Joined: Oct 2016 From: Arizona Posts: 185 Thanks: 31 Math Focus: Frame Theory is pretty awesome, and it's ripe for undergraduate research!  Am I missing something? Confused.
I'm completely new to groups. I am trying to follow the proof of (1) in the attached picture. I do not understand the part in the first line of the proof of (1) where we have $(a \oplus \tilde{a})a_1$. What I mean is, it seems strange that the $a_1$ is written right next to it. Are we assuming that multiplication is an operation as well? That notation is not used for the whole rest of the proofs. P.S. I don't know why the attachment is displaying sideways, I uploaded it right side up. This comes out of the book Linear Algebra by Jorg Liesen and Volker Mehrmann page 24. Last edited by ProofOfALifetime; April 26th, 2018 at 01:53 PM. 
April 26th, 2018, 02:14 PM  #2 
Senior Member Joined: Oct 2009 Posts: 733 Thanks: 246 
It seems like a typo.

April 26th, 2018, 02:35 PM  #3 
Senior Member Joined: Oct 2016 From: Arizona Posts: 185 Thanks: 31 Math Focus: Frame Theory is pretty awesome, and it's ripe for undergraduate research! 
Okay, thanks. I'll just try to find a different proof online.

April 26th, 2018, 05:03 PM  #4 
Senior Member Joined: Oct 2016 From: Arizona Posts: 185 Thanks: 31 Math Focus: Frame Theory is pretty awesome, and it's ripe for undergraduate research! 
Why is it so hard for them to proofread?


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