1. Find the number of generator of cyclic group
![](https://1.bp.blogspot.com/-5j0LuYhyfac/VumOsiHzOlI/AAAAAAABybc/sW4vutm82DoWmAMppmt_EAW5Iv1sIwHxg/s400/a.jpg)
2. Let
G be a cyclic group and
H be a subgroup of
G. Prove that
G/H is also cyclic group.
3. Let
G be a group and
f : G → G defined by
![](https://1.bp.blogspot.com/-WLJRxL64S58/VumO-nNjnJI/AAAAAAABybk/EyxuLiAiplEINak5K4I7LhBTAADKKB7AA/s400/b.jpg)
Prove that
G is abelian.
4. Determine all automorphisms of
![](https://4.bp.blogspot.com/-qhu7Gzx6EGA/VumPNMRUu9I/AAAAAAABybs/j2G9di1Y-WYBe_XEhrpXP03aV7l4FYffw/s400/c.jpg)
is an automorphism.
( under addition ).
Posting Komentar
Berkomentar sesuai dengan judul blog ini yah, berbagi ilmu, berbagi kebaikan, kunjungi juga otoriv tempat jual aksesoris motor dan mobil lengkap