Exercise 4(30 points) a) List all the elements of SL(2, F3) and find |SL(2, F3)|. b) Show for any q, with q a prime numb

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Exercise 4 30 Points A List All The Elements Of Sl 2 F3 And Find Sl 2 F3 B Show For Any Q With Q A Prime Numb 1 (109.48 KiB) Viewed 22 times

Exercise 4(30 points) a) List all the elements of SL(2, F3) and find |SL(2, F3)|. b) Show for any q, with q a prime number and for any n, GL(n, F)/SL(n, Fa) Fa\{0}. c) Hence prove, |GL(2, F3)| = 2|SL(2, F3)|. 2 d) Find 2 proper subgroups of SL(2, F3) which have an order at least 3. c-{67-69} Show that C is a normal subgroup of SL(2, F3). C =