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Hi, I need some serious help in paradoxical groups!
1) Given vectors v1,v2 in R2 and w1,w2 in R2 (none lieing on a line thru the origin), show that you can find a unique C such that Cv1=w1 and Cv2=w2.
2) Show that a finite group is not very paradoxical.
3) Is F3 paradoxical? Is Z?
THANKS!!!!!
1) Given vectors v1,v2 in R2 and w1,w2 in R2 (none lieing on a line thru the origin), show that you can find a unique C such that Cv1=w1 and Cv2=w2.
2) Show that a finite group is not very paradoxical.
3) Is F3 paradoxical? Is Z?
THANKS!!!!!