A group G is Lagrangian if for every positive divisor d of |G| there is a subgroup H of G with |H| = d. Give a complete

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answerhappygod
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A group G is Lagrangian if for every positive divisor d of |G| there is a subgroup H of G with |H| = d. Give a complete

Post by answerhappygod »

A group G is Lagrangian if for every positive divisor d of |G|
there is a subgroup H of G with |H| = d.
Give a complete description of the subgroups of Dn for all n ≥
2. Your description should detail the elements of each subgroup,
prove that they are subgroups and prove that there are no other
subgroups apart form the ones you describe.
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