{"id":18,"date":"2006-07-10T18:54:35","date_gmt":"2006-07-11T00:54:35","guid":{"rendered":"http:\/\/www.bigmert.com\/?p=18"},"modified":"2006-07-10T18:54:35","modified_gmt":"2006-07-11T00:54:35","slug":"on-the-mobius-function-of-a-finite-group","status":"publish","type":"post","link":"https:\/\/www.bigmert.com\/?p=18","title":{"rendered":"On the Mobius Function of a Finite Group"},"content":{"rendered":"<p>I will present the results of Hawkes, Isaacs, and Ozaydin from their paper &#8220;On the Mobius Function of a Finite Group.&#8221;\u00a0 I will discuss some results in the literature prior to this paper and how the authors&#8217; results generalize previous theorems.\u00a0 I will end with a theorem of the authors relating the Mobius number of the subgroup lattice of a finite solvable group to the Mobius number of its conjugacy class subgroup poset.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I will present the results of Hawkes, Isaacs, and Ozaydin from their paper &#8220;On the Mobius Function of a Finite Group.&#8221;\u00a0 I will discuss some results in the literature prior to this paper and how the authors&#8217; results generalize previous theorems.\u00a0 I will end with a theorem of the authors relating the Mobius number of &hellip; <a href=\"https:\/\/www.bigmert.com\/?p=18\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">On the Mobius Function of a Finite Group<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-18","post","type-post","status-publish","format-standard","hentry","category-no-pictures"],"_links":{"self":[{"href":"https:\/\/www.bigmert.com\/index.php?rest_route=\/wp\/v2\/posts\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.bigmert.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.bigmert.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.bigmert.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bigmert.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=18"}],"version-history":[{"count":0,"href":"https:\/\/www.bigmert.com\/index.php?rest_route=\/wp\/v2\/posts\/18\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.bigmert.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=18"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.bigmert.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=18"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.bigmert.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}