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Graduate Lagrange's Theorem (Order of a group) Abstract Algebra
Can someones tells me how to prove these theorems. 1. Prove that if G is a group of order p^2 (p is a prime) and G is not cyclic, then a^p = e (identity element) for each a E(belongs to) G. 2. Prove that if H is a subgroup of G, [G:H]=2, a, b E G, a not E H and b not E H, then ab E H. 3...- anna010101
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- Abstract Abstract algebra Algebra Group Theorem
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- Forum: Linear and Abstract Algebra