2.15. (a) Prove that GL2 (Fp) is a group. (b) Show that GL2 (Fp) is a noncommutative group for every prime p. (c) Describe GL2 (F2) completely. That is, list its elements and describe the multi- plication table. (d) How many elements are there in the group GL2(Fp)? (e) How many elements are there in the group GLn (Fp)?
2.15. (a) Prove that GL2 (Fp) is a group. (b) Show that GL2 (Fp) is a noncommutative group for every prime p. (c) Describe GL2 (F2) completely. That is, list its elements and describe the multi- plication table. (d) How many elements are there in the group GL2(Fp)? (e) How many elements are there in the group GLn (Fp)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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