{"id":419,"date":"2017-11-06T09:24:02","date_gmt":"2017-11-06T09:24:02","guid":{"rendered":"https:\/\/science.sjp.ac.lk\/mat\/?page_id=419"},"modified":"2024-12-18T19:04:50","modified_gmt":"2024-12-18T19:04:50","slug":"group-theory","status":"publish","type":"page","link":"https:\/\/science.sjp.ac.lk\/mat\/group-theory\/","title":{"rendered":"Group Theory"},"content":{"rendered":"<section class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_column_text]<strong>Course:\u00a0<\/strong> MAT 351 3.0 Group Theory (Compulsory)<\/p>\n<p><strong>Course Content<\/strong>:<\/p>\n<p style=\"text-align: justify;\">Definitions and Examples of Groups, Commutative and non-commutative groups, The group of integers modulo n (Zn ), Subgroups, Lagrange\u2019s Theorem, Homomorphisms and Normal Subgroups, Factor Groups, The Homomorphism Theorems, Cyclic Groups, Symmetric, Alternating and Dihedral Groups, Group Actions, Direct Products and Sums, Conjugacy classes, Cauchy theorem and p-groups, Sylow Theorems, Free Groups, Free Abelian groups, Finitely generated Abelian groups, Classification of Finite groups, Nilpotent and Solvable Groups, Normal and Subnormal Series.<\/p>\n<p><strong>Recommended Readings: <\/strong><\/p>\n<ol>\n<li>Dummit, D. S., &amp; Foote, R. M. (2004). <em>Abstract algebra<\/em>. Hoboken: Wiley.<\/li>\n<li>Herstein, I. N. (1975). <em>Topics in algebra<\/em>. New York: Wiley.<\/li>\n<li>Baumslag, B., &amp; Chandler, B. (1968). <em>Group theory<\/em>. New York: McGraw-Hill.<\/li>\n<li>Fraleigh, J. B. (1982). <em>A first course in abstract algebra<\/em>. Reading, Massachusetts: Addison-Wesley.<\/li>\n<li>Malik, D. S., Mordeson, J. M., &amp; Sen, M. K. (1997). <em>Fundamentals of abstract algebra<\/em>. New York: The McGraw-Hill Companies.<\/li>\n<li>Hungerford, Thomas W. (1980). <em>Algebra<\/em>. New York: Springer-Verlag.<\/li>\n<\/ol>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_column_text]Course:\u00a0 MAT 351 3.0 Group Theory (Compulsory) Course Content: Definitions and Examples of Groups, Commutative and non-commutative groups, The group of integers modulo n (Zn ), Subgroups, Lagrange\u2019s Theorem, Homomorphisms and Normal Subgroups, Factor Groups, The Homomorphism Theorems, Cyclic Groups, Symmetric, Alternating and Dihedral Groups, Group Actions, Direct Products and Sums, Conjugacy classes, Cauchy theorem &hellip; <a href=\"https:\/\/science.sjp.ac.lk\/mat\/group-theory\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Group Theory<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/419"}],"collection":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/comments?post=419"}],"version-history":[{"count":3,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/419\/revisions"}],"predecessor-version":[{"id":4684,"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/pages\/419\/revisions\/4684"}],"wp:attachment":[{"href":"https:\/\/science.sjp.ac.lk\/mat\/wp-json\/wp\/v2\/media?parent=419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}