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= 1. Let A be an abelian group and let 4 : A + A be an isomorphism. Show that H = {a E A | (a) = a} is a subgroup of A.
Posted: Mon May 09, 2022 10:46 am
by answerhappygod
- 1 Let A Be An Abelian Group And Let 4 A A Be An Isomorphism Show That H A E A A A Is A Subgroup Of A 1 (48.34 KiB) Viewed 72 times
= 1. Let A be an abelian group and let 4 : A + A be an isomorphism. Show that H = {a E A | (a) = a} is a subgroup of A. 2. Define an operation * on the set of integers by a *b = 3ab. Show that (Z, *) is not a group. (Hint: We know that multiplication of integers is associative, so you'll need to consider the other two group axioms.)