{"id":11339,"date":"2019-05-13T09:26:28","date_gmt":"2019-05-13T06:26:28","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=11339"},"modified":"2019-05-13T13:46:50","modified_gmt":"2019-05-13T10:46:50","slug":"math-seminar-finite-groups-having-nonnormal-t-i-subgroups-m-yasir-kizmaz-sa-141-140pm-may-13-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-finite-groups-having-nonnormal-t-i-subgroups-m-yasir-kizmaz-sa-141-140pm-may-13-en\/","title":{"rendered":"MATH Seminar: &#8220;Finite Groups Having Nonnormal T.I. Subgroups,&#8221; M. Yasir K\u0131zmaz, SA-141, 1:40PM May 13 (EN)"},"content":{"rendered":"<p>Dear Colleagues and Students, <\/p>\n<p>You are cordially invited to the seminar organized by the Department of Mathematics. <\/p>\n<p>Speaker: M. Yasir K\u0131zmaz (Bilkent) <\/p>\n<p>&#8220;Finite groups having nonnormal T.I. subgroups&#8221; <\/p>\n<p><strong>Abstract:<\/strong> In the present paper, the structure of a finite group G having a nonnormal T.I. subgroup H which is also a Hall \u03c0-subgroup is studied. As a generalization of a result due to Gow, we prove that H is a Frobenius complement whenever G is \u03c0-separable. This is achieved by obtaining the fact that Hall T.I. subgroups are conjugate in a finite group. We also prove two theorems about normal complements one of which generalizes a classical result of Frobenius. <\/p>\n<p>Date: Monday, May 13, 2019<br \/>\nTime: 13:40<br \/>\nPlace: Mathematics Seminar Room, SA \u2013 141 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dear Colleagues and Students, You are cordially invited to the seminar organized by the Department of Mathematics. Speaker: M. Yasir K\u0131zmaz (Bilkent) &#8220;Finite groups having nonnormal T.I. subgroups&#8221; Abstract: In the present paper, the structure of a finite group G having a nonnormal T.I. subgroup H which is also a [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-finite-groups-having-nonnormal-t-i-subgroups-m-yasir-kizmaz-sa-141-140pm-may-13-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-11339","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/11339","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=11339"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/11339\/revisions"}],"predecessor-version":[{"id":11340,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/11339\/revisions\/11340"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=11339"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=11339"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=11339"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}