MO640 - Exercises - Algebraic theory, Feijao and Meidanis 2013

Exercises marked with (*) require further reading/search beyond the suggested texts.

2. For α = (1 3 4 6)(5 8 9) and β = (2 3 7)(9 1 8 5), compute αβα-1.

Answer:

αβα-1 = α(2 3 7)(9 1 8 5)α-1
= (α2 α3 α7)(α9 α1 α8 α5)
= (2 4 7)(5 3 9 8)


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