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(8) Let G and G be groups, and let : GG be a group homomor- phism, then (a) kero is a subgroup of G. (b) kero is a normal subgroup. (e) kero- (z EG: (z)= e), where e' is the identity in G. (d) all above.

(8) Let G and G be groups, and let : GG be a group homomor- phism, then (a) kero is a subgroup of G. (b) kero is a normal subgroup. (e) kero- (z EG: (z)= e), where e' is the identity in G. (d) all above.

Advanced Engineering Mathematics
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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(8) Let G and G be groups, and let : GG be a group homomor- phism, then (a) keró is a subgroup of G. (b) kerp is a normal subgroup. (e) kero- (z EG: (z)= e), where e' is the identity in Cº. (d) all above. (9) The order of the factor group Zax Z/((0) Z₁) is (a) 2 (b) 3
Transcribed Image Text:(8) Let G and G be groups, and let : GG be a group homomor- phism, then (a) keró is a subgroup of G. (b) kerp is a normal subgroup. (e) kero- (z EG: (z)= e), where e' is the identity in Cº. (d) all above. (9) The order of the factor group Zax Z/((0) Z₁) is (a) 2 (b) 3
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