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Let (x, y) e R × R. Consider the following functions from R? to R? r((x, y)) = (-y, x) and s(x, y)) = (x, –y). (d) The set K = { r's' | 0

Let (x, y) e R × R. Consider the following functions from R? to R? r((x, y)) = (-y, x) and s(x, y)) = (x, –y). (d) The set K = { r's' | 0

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.5: Isomorphisms
Problem 5E
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Let (x, y) E R× R. Consider the following functions from R? to R? r((x, y)) = (-y,x) and s(x, y)) = (x, -y). (d) The set K = {r's' | 0 < i < |r| and 0 < j < |s| } is a group. Construct the complete group table for K. Р(х, у)
Transcribed Image Text:Let (x, y) E R× R. Consider the following functions from R? to R? r((x, y)) = (-y,x) and s(x, y)) = (x, -y). (d) The set K = {r's' | 0 < i < |r| and 0 < j < |s| } is a group. Construct the complete group table for K. Р(х, у)
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