A group G of order 72 has a subgroup H of order 24. Prove that either H is normal in G or H has a subgroup of order 12 which is normal in G.
A group G of order 72 has a subgroup H of order 24. Prove that either H is normal in G or H has a subgroup of order 12 which is normal in G.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 22E: 22. If and are both normal subgroups of , prove that is a normal subgroup of .
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A group G of order 72 has a subgroup H of order 24. Prove that either
H is normal in G or H has a subgroup of order 12 which is normal in G.
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