Help to one and tow qoustion 13. Find groups that contain elements a and b such that Jal = \b| = 2anda. Jab| = 3, b. Jab| = 4, c. \ab| = 5.Can you see any relationship among lal, [b|, and lab|?14. Suppose that H is a proper subgroup of Z under addition and Hcontains 18, 30, and 40. Determine H.

Answered: Image /qna-images/answer/9484b4fb-892c-4090-b335-abda86036554.jpg

13. Find groups that contain elements a and b such that |al = \b| = 2 and a. Jab| = 3, b. Jab| = 4, c. \ab] = 5. Can you see any relationship among lal, \bl, and Jab\? 14. Suppose that H is a proper subgroup of Z under addition and H contains 18, 30, and 40. Determine H.

13. Find groups that contain elements a and b such that |al = \b| = 2 and a. Jab| = 3, b. Jab| = 4, c. \ab] = 5. Can you see any relationship among lal, \bl, and Jab\? 14. Suppose that H is a proper subgroup of Z under addition and H contains 18, 30, and 40. Determine H.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 38E: Find subgroups H and K of the group S(A) in example 3 of section 3.1 such that HK is not a subgroup...

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Question

Help to one and tow qoustion

13. Find groups that contain elements a and b such that Jal = \b| = 2
and
a. Jab| = 3, b. Jab| = 4, c. \ab| = 5.
Can you see any relationship among lal, [b|, and lab|?
14. Suppose that H is a proper subgroup of Z under addition and H
contains 18, 30, and 40. Determine H.

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