anonymous
  • anonymous
Give an example of group elements a and b with the property that a^-1ba does not equal b
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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terenzreignz
  • terenzreignz
Well... one thing's for sure, we can't have an abelian group...
anonymous
  • anonymous
yes, i realized this. I need an answer
terenzreignz
  • terenzreignz
We can use any group?

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anonymous
  • anonymous
I'm assuming. That is all of the question.
terenzreignz
  • terenzreignz
What are some of the non-Abelian groups you're familiar with?
anonymous
  • anonymous
D4 is the only one we have covered in class so far but we are covering another one on monday
terenzreignz
  • terenzreignz
D4 is fine... what are its elements?
terenzreignz
  • terenzreignz
(I'm asking you because I don't know what you guys call the elements of D4)
anonymous
  • anonymous
there are 8 elements, the 4 rotations, horizontal, vertical, and the two diagonals
anonymous
  • anonymous
or at least that is what I gathered from the lesson
terenzreignz
  • terenzreignz
Okay.. hang on...
anonymous
  • anonymous
thank you!
terenzreignz
  • terenzreignz
Let's consider a diagonal rotation along the \ diagonal as a and a rotation 90 degrees clockwise as b.
anonymous
  • anonymous
ok....
terenzreignz
  • terenzreignz
Sorry, I meant a diagonal *reflection*
terenzreignz
  • terenzreignz
If a is the diagonal reflection along the \ diagonal (not the other / one) Then what is \(a^{-1}\)?
anonymous
  • anonymous
i have no idea. What is a Math Processing Error?
terenzreignz
  • terenzreignz
I meant a^-1
terenzreignz
  • terenzreignz
If a is the diagonal reflection along \, then what is its inverse?
anonymous
  • anonymous
I don't know. I thought for the example the question wanted actual numbers for the elements.
anonymous
  • anonymous
do you know of any non-abelian group?
anonymous
  • anonymous
Just D4.

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