(Law of Exponents for Abelian Groups) Let a and b be elements ofan Abelian group and let n be any integer. Show that (ab)n =anbn.Is this also true for non-Abelian groups?
(Law of Exponents for Abelian Groups) Let a and b be elements ofan Abelian group and let n be any integer. Show that (ab)n =anbn.Is this also true for non-Abelian groups?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 30E: Let G be an abelian group of order 2n, where n is odd. Use Lagranges Theorem to prove that G...
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(Law of Exponents for Abelian Groups) Let a and b be elements of
an Abelian group and let n be any integer. Show that (ab)n =anbn.
Is this also true for non-Abelian groups?
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