• 2022-07-24 问题

    设[tex=0.571x1.0]FGGpnaR8m8C48rN8O0c7aw==[/tex]为素数,令[tex=9.714x1.643]RmjC5aPQ7Q23DLsknQh1IOkmJ6PI4MiPrzj6d6y7vaDjDj4aspBhGQL8DH/4fSU4gk3qZszNM2/M2rYwDwKgnO7FQjBLgLM27EhMGkh1dtQ=[/tex],则[tex=1.286x1.429]fV+/IAhEthfjd2YtY+Z2lL4Qy7a2HPRB1IxcInQzyMk=[/tex] 是加群[tex=0.929x1.214]ipY8J/5IDyDdvaflKWkPEg==[/tex]的子群 且[tex=3.286x1.429]2LDs+sQO4WouH7aVUuMJiPapC+h8kDSlINqqiJFq3VCpxH6VgCxRWAmL3JVVrwbG[/tex],于是商群[tex=2.429x1.5]Wr9cKjHW6b+rm8rr9IwY07FMzlckhoGexkLPk3+1sRo=[/tex]是一个[tex=0.714x1.0]oaXPjenEQATpEhakjoja5g==[/tex]模,作映射[tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]为[tex=3.714x1.357]eBvlP2cmOi65OnYYxw6qOg==[/tex],[tex=4.214x1.5]c2we6NkCEfGMGeweVx801aiZ0zvWk7DvRTJn1HJnZA6vdrLq/EqkUzTTxOqt+SwY[/tex],试证明:[tex=7.143x1.571]cdVGVFvf3WBycpaMoYl9XTy1Gb2jTBu5pzDzD2ycCS+K+r5SJweoouJ50Nl5lM3z/n3lnweJ8ewKWw4vYS14bZS2P8+YSqoklOHiwLCyK+0=[/tex]。

    设[tex=0.571x1.0]FGGpnaR8m8C48rN8O0c7aw==[/tex]为素数,令[tex=9.714x1.643]RmjC5aPQ7Q23DLsknQh1IOkmJ6PI4MiPrzj6d6y7vaDjDj4aspBhGQL8DH/4fSU4gk3qZszNM2/M2rYwDwKgnO7FQjBLgLM27EhMGkh1dtQ=[/tex],则[tex=1.286x1.429]fV+/IAhEthfjd2YtY+Z2lL4Qy7a2HPRB1IxcInQzyMk=[/tex] 是加群[tex=0.929x1.214]ipY8J/5IDyDdvaflKWkPEg==[/tex]的子群 且[tex=3.286x1.429]2LDs+sQO4WouH7aVUuMJiPapC+h8kDSlINqqiJFq3VCpxH6VgCxRWAmL3JVVrwbG[/tex],于是商群[tex=2.429x1.5]Wr9cKjHW6b+rm8rr9IwY07FMzlckhoGexkLPk3+1sRo=[/tex]是一个[tex=0.714x1.0]oaXPjenEQATpEhakjoja5g==[/tex]模,作映射[tex=0.5x1.214]gNOHIx2AGu3qP//Yn7oxrg==[/tex]为[tex=3.714x1.357]eBvlP2cmOi65OnYYxw6qOg==[/tex],[tex=4.214x1.5]c2we6NkCEfGMGeweVx801aiZ0zvWk7DvRTJn1HJnZA6vdrLq/EqkUzTTxOqt+SwY[/tex],试证明:[tex=7.143x1.571]cdVGVFvf3WBycpaMoYl9XTy1Gb2jTBu5pzDzD2ycCS+K+r5SJweoouJ50Nl5lM3z/n3lnweJ8ewKWw4vYS14bZS2P8+YSqoklOHiwLCyK+0=[/tex]。

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