What could the order of the subgroup of the group of order G| = 554407
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Q: QUESTION 6 Consider the groups U(8) and Z4: (1) Determine the identity element in the group U(8) ×…
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Q: If H and K are subgroups of G, |H|= 16 and |K|=28 then a possible value of |HNK| is
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Q: Suppose H and K are subgroups of a group G. If |H| = 12 and |K| = 35, find |H N K|. Generalize. %3D
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Q: Let G be a group of odd order. Show that for all a e G there exists b eG such that a = 62.
A: According to the given information, let G be a group of odd order. It is required to show that:
![• What conld the order of the subgroup of the group of order (G] =
554407
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- 27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. b. Show that a cyclic group of order has a cyclic group of order as a homomorphic image.Exercises 19. Find cyclic subgroups of that have three different orders.4. Prove that the special linear group is a normal subgroup of the general linear group .