Every finite group of order 36 has at most 9 subgroups of order 4 and at most 4 subgroups of order 9.
Every finite group of order 36 has at most 9 subgroups of order 4 and at most 4 subgroups of order 9.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 18E
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(2) Every finite group of order 36 has at most 9 subgroups of order 4 and at most
4 subgroups of order 9.
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