If H and K are subgroups of G, |H]= 18 and |K|=30 then a possible value of |HNK| is * O 8 6. 4 O 18

Q: If H is a Sylow p- subgroup of G with |G|= qn and q> n is a prime. Then H may be normal. O O True…

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Q: If H and K are subgroups of G, IHI= 18 and IKI=30 then a possible value of IHNK is O 4. O 6 18 8

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Q: f H and K are two subgroups of a group G, then show that for any a, b ∈ G, either Ha ∩ Kb = ∅ or Ha…

A: If H and K are two subgroups of a group G, then show that for any a, b ∈ G,either Ha ∩ Kb = ∅ or Ha…

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Q: If H and K are subgroups of G, |H|= 18 and |Kl=30 then a possible value of |HNK| is O18 8. O 4

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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 * O 6 16 8. 4

A: Order of an subgroup should divide order of an group. Intersection of two subgroups again a…

Q: If H and K are subgroups of G, |H|= 18 and |K|=30 then a possible value of |HNK| is * 18 8 6. 4

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Q: If H and K are subgroups of G, IH|= 16 and |KI=28 thena possible value of |HNK| is 8. 6. 16

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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 * 8. O 16 4 O 6

A: Since you have posted multiple questions only the first question will be answered. It is given that…

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Q: If H and K are subgroups of G, |H|= 16 and IK|=28 then a possible value of |HNK| is * O 16 4 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 8 O 16 4 6

A: Answer is 4.

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A: To find the required cosets and index :-

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Q: If H and K are subgroups of G, |H|= 16 and IK|=28 then a possible value of |HNK| is * O 16 6. 4 O O…

A: H and K are subgroups of G H=16 and K=28 we have to find the possible value of H∩K

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Q: If H and K are subgroups of G, |H|= 18 and |K]=30 then a possible value of |HOK| is O 4 O 18 O 8

A: Given that H and K are sub-group of G.                  |H|= 18                  |K|=30 To find…

Q: Let K and H be subgroups of a finite group G with KCHCG.lf [G:K] = 12 and [H:K] = 3. Then, [G:H] =…

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Q: 1. Let p e Z be a prime number and set Z, = {" e Q : If ged(n, m) = 1, then p {m}. %3D d. Show that…

A: The answer for the above question is given below please do upvote if you like the solution thank you

Q: f H and K are subgroups of G, IH|= 20 and K|=32 then a possible value of |HOK[ is * O 16

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Q: 3= {m + nV5| m * EZ}CR. ca> Show that s is a subgroup ob (R, +), (6) Show that ib sl, st ES then…

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Q: Let G = . The smallest subgroup of G containing a^4 and a^14 is generated * by O a^4 O a^2 O a^6 O…

A: Second option is correct.

Q: If H and K are subgroups of G, |H|= 20 and |K]=32 then a possible value of IHNKI is O 2 16

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Q: How many cyclic subgroups of order 2 in Zg O Z2 4 None of them 2 1 3

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Q: 5. List the left and right cosets of the subgroups in each of the following. (5bh from 6.5) a) (3)…

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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 * 4 О 16 6 00 ООО…

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