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    Identifying $U(32)/\{1,31\}$

    P-CH9S-025

    Area
    Algebra
    Status
    draft
    Contents

    Let \(G = U ( 3 2 )\) and \(H = \{ 1 , 3 1 \}\) . The group \(G / H\) is isomorphic to one of \(\mathbb { Z } _ { 8 }\) \(\mathbb { Z } _ { 4 } \oplus \mathbb { Z } _ { 2 } .\) , or \(\mathbb { Z } _ { 2 } \oplus \mathbb { Z } _ { 2 } \oplus \mathbb { Z } _ { 2 }\) . Determine which one by elimination.

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