Math, asked by yatnesh2512, 8 months ago

prove that the group of auto morphism of an infinite cyclic group is of order ?​

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Answered by parisbabu79
2

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Answered by Aathir25
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.

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