1 Let f be a non trivial homomorphism from Z10 to Z15.Then which of the following holds?
A) im f is of order 10
B) ker f is of order 5
C) ker f is of order 2
D) f is a one to one map
2.the number of zeros of z5+3z2+1 in |z|<1,counted with multiplicity is
A)0 B) 1 C)2 D)3
How to solve this problems.
2)
has two zeros.
By Rouché's theorem has also two zeros.
Answer: C) 2.
1)
Kernel of f consists of integers in and which are divisible by
ker f
Answer: C) ker f is of order 2
Comments