Show that M is a subgroup N; N is a subgroup D4, but that M is not a subgroup of D4

D₄ = {(1),(1, 2, 3, 4),(1, 3)(2, 4),(1, 4, 3, 2),(1, 2)(3, 4),(1, 4)(2, 3),(2, 4),(1, 3)}

M = {(1),(1, 4)(2, 3)}

N = {(1),(1, 4)(2, 3),(1, 3)(2, 4),(1, 2)(3, 4)}

Show that M is a subgroup N; N is a subgroup D₄, but that M is not a subgroup of D₄

Expert Solution

Colby Messinger answered 2 years ago

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