是否存在幂集与自然数集等势的集合?考虑一个交换群G,对于G中任意元素a有a*a=e,e为单位元素,那么猜想:G的基K的幂集与G等势.比如:K={a,b,c},G={e,a,b,c,ab,ac,bc,abc},card(K)=3,card(G)=8=2的3次方.如果这
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![是否存在幂集与自然数集等势的集合?考虑一个交换群G,对于G中任意元素a有a*a=e,e为单位元素,那么猜想:G的基K的幂集与G等势.比如:K={a,b,c},G={e,a,b,c,ab,ac,bc,abc},card(K)=3,card(G)=8=2的3次方.如果这](/uploads/image/z/8794262-38-2.jpg?t=%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%B9%82%E9%9B%86%E4%B8%8E%E8%87%AA%E7%84%B6%E6%95%B0%E9%9B%86%E7%AD%89%E5%8A%BF%E7%9A%84%E9%9B%86%E5%90%88%3F%E8%80%83%E8%99%91%E4%B8%80%E4%B8%AA%E4%BA%A4%E6%8D%A2%E7%BE%A4G%2C%E5%AF%B9%E4%BA%8EG%E4%B8%AD%E4%BB%BB%E6%84%8F%E5%85%83%E7%B4%A0a%E6%9C%89a%2Aa%3De%2Ce%E4%B8%BA%E5%8D%95%E4%BD%8D%E5%85%83%E7%B4%A0%2C%E9%82%A3%E4%B9%88%E7%8C%9C%E6%83%B3%EF%BC%9AG%E7%9A%84%E5%9F%BAK%E7%9A%84%E5%B9%82%E9%9B%86%E4%B8%8EG%E7%AD%89%E5%8A%BF.%E6%AF%94%E5%A6%82%EF%BC%9AK%3D%7Ba%2Cb%2Cc%7D%2CG%3D%7Be%2Ca%2Cb%2Cc%2Cab%2Cac%2Cbc%2Cabc%7D%2Ccard%28K%29%3D3%2Ccard%28G%29%3D8%3D2%E7%9A%843%E6%AC%A1%E6%96%B9.%E5%A6%82%E6%9E%9C%E8%BF%99)
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