If a is a group element of infinite order, what is a generator of the subgroup <am> <an>?
If a is a group element of infinite order, what is a generator of the subgroup <am> <an>?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 34E: 34. Suppose that and are subgroups of the group . Prove that is a subgroup of .
Question
If a is a group element of infinite order, what is a generator of the subgroup <am> <an>?
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