Let G be set of all 2 x 2 matrices in GL2(Z5) of the form (d), (iv) Let N be the subset of all matrices in G of the form normal subgroup of G. (v) Show that the factor group G/N is cyclic of order 4. (19) C with c, d e Z5 and d = 0. with ce Z5. Show that N is a
Let G be set of all 2 x 2 matrices in GL2(Z5) of the form (d), (iv) Let N be the subset of all matrices in G of the form normal subgroup of G. (v) Show that the factor group G/N is cyclic of order 4. (19) C with c, d e Z5 and d = 0. with ce Z5. Show that N is a
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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Transcribed Image Text:Let G be set of all 2 × 2 matrices in GL2 (Z5) of the form
(²2)
(iv) Let N be the subset of all matrices in G of the form
normal subgroup of G.
(v) Show that the factor group G/N is cyclic of order 4.
(²9)
C
with c, d e Z5 and d 0.
with ce Z5. Show that N is a
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