SOLUTION: In permutation group 𝑆6, if 𝛼 = (2 3 4) and 𝛽 = (2 5 6), then find a permutation πœ™ such that πœ™π›Όπœ™ βˆ’1 = 𝛽. Let π‘Ž be a fixed element of a ring R, and

Algebra ->  Equations -> SOLUTION: In permutation group 𝑆6, if 𝛼 = (2 3 4) and 𝛽 = (2 5 6), then find a permutation πœ™ such that πœ™π›Όπœ™ βˆ’1 = 𝛽. Let π‘Ž be a fixed element of a ring R, and       Log On


   

Question 1182331: In permutation group 𝑆6, if 𝛼 = (2 3 4) and 𝛽 = (2 5 6), then find a permutation πœ™ such that
πœ™π›Όπœ™
βˆ’1 = 𝛽.
Let π‘Ž be a fixed element of a ring R, and let
𝐼𝑠 = {π‘₯ ∈ 𝑅 ∢ 𝑠π‘₯ = 0}.
Show that 𝐼𝑠
is a subring of 𝑅.
Show that β„€8 = {0,1,2,3,4,5,6,7,8} is a commutative ring w.r.t. addition modulo 8 and
multiplication modulo 8.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

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