Question

What is yhe number of automorphisms of infinite cyclic group?

Answer 1

Answer:

A theorem of Nagrebeckii [ 111 asserts that in an infinite group with finitely many automorphisms the elements of finite order form a finite subgroup. G isjkite, G/ZG is a non-abelian simple group, and ZG is cyclic. ... Suppose that A is an infinite abelian group and that Aut A is finite.

Answer 2

Step-by-step explanation:

What is yhe number of automorphisms of infinite cyclic group?

-> F is an automorphism of an infinite cyclic group G then 1.fn≠IdG 2.f2=IdG 3.f=IdG if fn=IdG then every element of G will have finite order