{"id":1327,"date":"2022-01-09T22:56:29","date_gmt":"2022-01-09T14:56:29","guid":{"rendered":"https:\/\/www.caiqinyi.cn\/?p=1327"},"modified":"2022-10-19T14:13:03","modified_gmt":"2022-10-19T06:13:03","slug":"coefficient_matrix_abelianized_relations_mark","status":"publish","type":"post","link":"https:\/\/www.caiqinyi.cn\/index.php\/2022\/01\/09\/coefficient_matrix_abelianized_relations_mark\/","title":{"rendered":"\u4ea4\u6362\u5316\u7cfb\u6570\u77e9\u9635\u6ce8\u8bb0"},"content":{"rendered":"<p><script type=\"text\/javascript\" async src=\"https:\/\/www.caiqinyi.cn\/wp-content\/MathJax\/MathJax.js?config=TeX-AMS_CHTML\">\n<\/script><br \/>\n<script type=\"text\/x-mathjax-config\">\n    MathJax.Hub.Config({\n        tex2jax: {inlineMath: [['$','$']]},\n        TeX: {equationNumbers: {autoNumber: [\"AMS\"], useLabelIds: true}},\n        \"HTML-CSS\": {linebreaks: {automatic: true}},\n        SVG: {linebreaks: {automatic: true}}\n    });\n<\/script><\/p>\n<p>\u5dee\u4e0d\u591a\u4e00\u4e2a\u6708\u6ca1\u5199\u4ee3\u6570\u62d3\u6251\u76f8\u5173\u7684\u535a\u5ba2\u4e86, \u6700\u8fd1\u6709\u7a7a\u90fd\u662f\u5728\u5b66\u4e60\u6570\u5b57\u51e0\u4f55\u5904\u7406, \u76ee\u524d\u8fdb\u5ea6\u8fd8\u884c, \u518d\u4e0d\u6d4e\u4e5f\u80fd\u5728\u8fc7\u5e74\u65f6\u5b8c\u6210\u7cfb\u5217\u8bfe\u7a0b\u7684\u5b66\u4e60. \u4e4b\u524d\u65ad\u65ad\u7eed\u7eed\u770b\u4e86\u5e84\u6653\u6ce2\u8001\u5e08\u7684\u89c6\u9891, \u5bf9Abel\u7fa4\u53c8\u6709\u4e86\u8fdb\u4e00\u6b65\u7684\u7406\u89e3, \u4e5f\u89e3\u51b3\u4e86\u4e4b\u524d\u81ea\u5df1\u5728\u5b66\u4e60\u4ea4\u6362\u5316\u7cfb\u6570\u77e9\u9635\u5316\u6807\u51c6\u578b\u65f6\u7684\u95ee\u9898, \u5728\u6b64\u7b80\u5355\u8bb0\u5f55\u4e00\u4e0b~<\/p>\n<p><!--more--><\/p>\n<p>\u7fa4$G = (a, b \\ | \\ a^2, b^3)$\u7684\u4ea4\u6362\u5316\u7cfb\u6570\u77e9\u9635\u662f$diag(2, 3)$\u7ecf\u6574\u7cfb\u6570\u521d\u7b49\u53d8\u6362\u4ee5\u540e\u5f97\u5230\u7684\u6807\u51c6\u578b\u4e3a$diag(1, 6)$, \u5b83\u662f\u7fa4$H = (a, b \\ | \\ a, b^6)$\u7684\u4ea4\u6362\u5316\u7cfb\u6570\u77e9\u9635, \u5219$G$\u7684\u4ea4\u6362\u5316$Z_2 \\oplus Z_3$\u540c\u6784\u4e8e$H$\u7684\u4ea4\u6362\u5316$Z_6$, \u6b64\u5904\u770b\u4f3c\u5ffd\u7565\u4e86$a$, \u5b9e\u5219\u662f\u56e0\u4e3a$Z \/ Z $$ = 0$, \u8fd9\u662f\u4e00\u4e2a\u5e73\u51e1\u7fa4, \u6545$Z \/ Z \\oplus $$ Z_6 = Z_6$.<br \/>\n$\\\\$ \u7531\u4ea4\u6362\u5316\u7cfb\u6570\u77e9\u9635\u5f15\u7533\u5f97\u5230\u7684\u6709\u9650\u751f\u6210\u4ea4\u6362\u7fa4\u57fa\u672c\u5b9a\u7406\u5b9e\u9645\u4e0a\u662f\u5bf9\u4e8e\u9ad8\u7b49\u4ee3\u6570\u4e2d\u4e0d\u53d8\u56e0\u5b50\u4e0e\u521d\u7b49\u56e0\u5b50\u4e4b\u95f4\u7684\u5173\u7cfb\u66f4\u62bd\u8c61\u7684\u8868\u793a, \u56e0\u6b64\u81ea\u5df1\u63a5\u4e0b\u6765\u8fd8\u9700\u7ee7\u7eed\u5b66\u4e60, \u52a0\u6df1\u7406\u89e3, \u540e\u7eed\u53ef\u80fd\u4f1a\u5199\u4e00\u7bc7\u76f8\u5173\u7684\u6587\u7ae0\u4ee5\u4f5c\u8bb0\u5f55(\u5f00\u5751\u4e86\u5f00\u5751\u4e86233).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5dee\u4e0d\u591a\u4e00\u4e2a\u6708\u6ca1\u5199\u4ee3\u6570\u62d3\u6251\u76f8\u5173\u7684\u535a\u5ba2\u4e86, \u6700\u8fd1\u6709\u7a7a\u90fd\u662f\u5728\u5b66\u4e60\u6570\u5b57\u51e0\u4f55\u5904\u7406, \u76ee\u524d\u8fdb\u5ea6\u8fd8\u884c, \u518d\u4e0d\u6d4e\u4e5f\u80fd\u5728\u8fc7\u5e74\u65f6\u5b8c &hellip; <a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2022\/01\/09\/coefficient_matrix_abelianized_relations_mark\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u4ea4\u6362\u5316\u7cfb\u6570\u77e9\u9635\u6ce8\u8bb0<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"_links":{"self":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/1327"}],"collection":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/comments?post=1327"}],"version-history":[{"count":9,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/1327\/revisions"}],"predecessor-version":[{"id":2554,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/1327\/revisions\/2554"}],"wp:attachment":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/media?parent=1327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/categories?post=1327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/tags?post=1327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}