Let n be an even positive integer. Prove that A,, has an element of order greater...

Transcribed Image Text:

Let n be an even positive integer. Prove that A,, has an element of order greater than n iff n 28. Let n be an even positive integer. Prove that A,, has an element of order greater than n iff n 28.

Answer rating: 100% (QA)

Let A be a group of even order n First suppose that n 8 Then the only possible orders of elements in A are 1 2 4 and 8 by Lagranges Theorem Therefore ... View the full answer