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

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 12E: Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order...

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Question

If H and K are subgroups of G, |H|=18 and |K|=30 then what is the possible value of |H intersection K| ? 8, 6, 18 or 4?

If H and K are subgroups ofG, |H|= 18 and |K|=30 then a possible value of (HNK| is
8.
6.
18
4
If G is a finite group with IG|<120 and G has subgroups of orders 10, 15 and 20
then the order of G is:
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