Normal Subgroup of Prime Index: Properties

Thread starter dori1123
Start date Oct 12, 2008
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Index Normal Normal subgroup Prime Properties Subgroup

Oct 12, 2008

dori1123

Show that if H is a normal subgroup of G of prime index p, then for all subgroups K of G, either
(i) K is a subgroup of H, or
(ii) G = HK and |K : K intersect H| = p.

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Oct 12, 2008

morphism

Science Advisor

Homework Helper

Well, what have you tried? And is G a finite group?

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