{"id":1439,"date":"2018-01-28T12:42:30","date_gmt":"2018-01-28T17:42:30","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=1439"},"modified":"2026-03-19T08:10:27","modified_gmt":"2026-03-19T12:10:27","slug":"jay-taylor","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/jay-taylor\/","title":{"rendered":"Jay Taylor &#8212; 2018"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Jay Taylor &#8212; 2018<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Automorphisms and Characters of Finite Groups<\/h3>\n\n\n\n<p>Abstract: The complex irreducible characters of a finite group G are of central importance to the representation theory of finite groups. The automorphism group of a finite group, as well as certain Galois automorphisms, acts on its sets of irreducible characters. In general it is a difficult problem to describe these actions. In this work we present results concerning the action of the automorphism group on the irreducible characters of the finite symplectic groups Sp(2n,q), where q is an odd prime power. We also present joint work with Schaeffer&#8211;Fry establishing a conjecture of Navarro which relates the property of having a self-normalising Sylow 2-subgroup to the action of certain Galois automorphisms on the irreducible characters.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1439","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1439","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=1439"}],"version-history":[{"count":3,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1439\/revisions"}],"predecessor-version":[{"id":3964,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1439\/revisions\/3964"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=1439"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}