Suppose H and K are subgroups of a group G.  If |H|=12 and |K| = 35, find |H intersected with K|.  Generalize.

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 27E: 27. Suppose is a normal subgroup of order of a group . Prove that is contained in , the center of...
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Suppose H and K are subgroups of a group G.  If |H|=12 and |K| = 35, find |H intersected with K|.  Generalize.

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