If H and K are subgroups of G, show that H > K is a subgroup of G.(Can you see that the same proof shows that the intersection of anynumber of subgroups of G, finite or infinite, is again a subgroupof G?)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If H and K are subgroups of G, show that H > K is a subgroup of G.
(Can you see that the same proof shows that the intersection of any
number of subgroups of G, finite or infinite, is again a subgroup
of G?)

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