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Q4: Let A and B be subgroups of a group to that A1 = 4 and 1B1-5- Show that AnB = {e}

Q4: Let A and B be subgroups of a group to that A1 = 4 and 1B1-5- Show that AnB = {e}

Elements Of Modern Algebra
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 23E: Find all subgroups of the quaternion group.
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**Question 4:** Let \(A\) and \(B\) be subgroups of a group \(G\) such that \(|A| = 4\) and \(|B| = 5\). Show that: \[ A \cap B = \{e\} \]
Transcribed Image Text:**Question 4:** Let \(A\) and \(B\) be subgroups of a group \(G\) such that \(|A| = 4\) and \(|B| = 5\). Show that: \[ A \cap B = \{e\} \]
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