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A group is simple if it has no non-trivial normal subgroup. Find subgroups H1,H2 of D6, such that the sequence {e}=H3 H2 H1 H0 =D6
- A group is simple if it has no non-trivial normal subgroup. Find subgroups H1,H2 of D6, such that the sequence
{e}=H3 H2 H1 H0 =D6
has the property that each quotient Hi/Hi+1 is simple. Identify the simple quotients.
(Notation: H G means "H is a normal subgroup of G".)
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