Help for algebraic structures!

Jan 12th, 2015
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Question description

Define the set M and the binary operation ◦ in the following way:

M = x ; x ∈ R(real number), x not equal to 1/5 , a ◦ b = a + b + 5a · b

where + and · denote the usual addition and multiplication in R. Show that (M, ◦) is a group. Determine whether this group is Abelian.

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(Top Tutor) Daniel C.
School: New York University

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