Show that f(x,y)=x(-1)^y is homomorphism from the direct product group ℝ(positive) ×ℤ2 to the group ℝ*.
(need to show that f((a,b)(c,d))=f(a,b)f(c,d), is it right? but I can't get them equal to each other)
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I'm assuming is the group of postitive real numbers with multiplication as operation.
Last edited by Jose27; Nov 21st 2009 at 10:49 PM.
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