오리톢 [902596] · MS 2019 · 쪽지

2022-04-29 22:07:45
조회수 118

Recall

게시글 주소: https://orbi.kr/00056417972

that for prime integers p, q with p>q, if q | p-1 then there is a unique nonabelian group K of order pq. If G is a nonabelian group such that Aut(G) is isomorphic to K then G has a normal abelian group. (Hint: consider Inn(G) and note that G/Z(G) is cyclic then G is abelian for any group G)

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