{"id":17307,"date":"2002-07-06T00:00:00","date_gmt":"2002-07-06T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/three-theorems-in-a-class-of-locally-finite-groups\/"},"modified":"2002-07-06T00:00:00","modified_gmt":"2002-07-06T00:00:00","slug":"three-theorems-in-a-class-of-locally-finite-groups","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/three-theorems-in-a-class-of-locally-finite-groups\/","title":{"rendered":"Three theorems in a class of locally finite groups"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Camp Mora Jos\u00e9 Sergio <\/strong><\/h2>\n<p>La memoria se enmarca dentro del \u00e1mbito de la teor\u00eda de grupos, y, m\u00e1s en particular, en la teor\u00eda de grupos localmente finitos.  los resultados recogidos explotan las propiedades de los subgrupos major introducidos por m. J. Tomkinson en 1975. Tales subgrupos son clasificados para grupos pertenecientes a la clase cl de los grupos localmente finitos y radicales verificando la condici\u00f3n de m\u00ednimo para sus p-subgrupos; y esto permite abordar desde un punto de vista diferente problemas surgidos en la teor\u00eda de grupos localmente finitos.  de este modo ha sido posible extender satisfactoriamente teoremas de la teor\u00eda de grupos finitos. En particular, se demuestra una versi\u00f3n en la clase cl del teorema de gasch\u00ed\u00bctz y lubeseder, afirmando que, para grupos en cl, los conceptos de formaci\u00f3n saturada y formaci\u00f3n local son equivalentes. el concepto de saturaci\u00f3n de una formaci\u00f3n para cl-grupos fue introducido a trav\u00e9s de los subgrupos major citados anteriormente.  en el segundo cap\u00edtulo se extiende a la clase de grupos cl es el conocido teorema de jordan-h\u00ed\u00b6lder que establece una correspondencia entre factores de dos series principales cualesquiera de un grupo finito resoluble manteniendo tanto isomorf\u00eda como su car\u00e1cter de suplementaci\u00f3n. Para hacer posible tal correspondencia ha sido necesario modificar la definici\u00f3n de serie principal, generalizando la ya existente para grupos finitos. Se obtienen de este modo las llamadas u-series y los u-factores principales. Asimismo se caracterizan  los subgrupos mayores de un cl que son suplementados en \u00e9ste.  en el tercer y \u00faltimo cap\u00edtulo se extiende a la clase cl el conocido teorema de bryce y cossey estableciendo la saturaci\u00f3n de una formaci\u00f3n de fitting s-cerrada.  en la memoria aparecen algunos resultados concernientes a una subclase * de cl, que generalizan de forma satisfactoria el concepto de nilpotencia en el universo resoluble finito. En particular, se establece que el<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Three theorems in a class of locally finite groups<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Three theorems in a class of locally finite groups <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Camp Mora Jos\u00e9 Sergio <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 P\u00fablica de navarra<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 07\/06\/2002<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Luis Miguel Ezquerro Mar\u00edn<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco P\u00e9rez monasor <\/li>\n<li>leonid Kurdachenko (vocal)<\/li>\n<li>Javier Otal cinca (vocal)<\/li>\n<li>john Cossey (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Camp Mora Jos\u00e9 Sergio La memoria se enmarca dentro del \u00e1mbito de la teor\u00eda de grupos, y, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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