進階代數(下)----Groups and Fields


課程介紹


Homework 1     (賴德展)  (羅健峰)  1.1 Semigroup, Monoids and Groups     (林志峰
Homework 2      (陳泓勳) (林育生) 1.2 Homomorphisms and Subgroups     (何昕暘)
Homework 3      (葉彬)  (周彥伶)                           1.3 Cyclic Groups  ( 陳巧玲)
Homework 4      (黃思綸)  (邱鈺傑)1.4 Cosets and Counting  (洪湧昇)
Homework 5       (林育生)  1.5 Normality, Quotient Groups, and Homomorphisms (林志嘉)
Homework 6      (葉彬) (羅健峰)                    1.6 Symmetric, Alternating, and Dihedral Groups  ( 蕭雯華 )  (陳建文)
Homework 7      (黃正一) (賴德展1.8 Direct Products and Direct Sums (林詒琪) (劉侖欣)
Homework 8     (陳巧玲)       1(d) 解答 1.9 Free Groups, Free Products, Generators and Relations (黃正一) (黃彥璋)
Homework 9       ( 陳泓勳)2.3  The Krull-Schmidt Theorem (林志峰)    (邱鈺傑)   (何昕暘)    (陳建文)
Homework 10        (洪湧昇)  ( 第 2 題) (周彥伶)2.4 The Action of a Group on a Set (林詒琪)
Homework 11        (林志嘉) (黃彥璋)                         2.5 The Sylow Theorems (劉侖欣)
Homework 12        (黃思綸) (林育生)              2.6 Classification of  Finite Groups (黃正一)  (蕭雯華)
Homework 13         (陳泓勳) (邱鈺傑)2.7 Nilpotent and Solvable Subgroups ( 何昕暘)  (林志峰)
Exercise           (黃彥璋)   (林志嘉)2.8 Normal and Subnormal Series (賴德展)
5.1 Field Extension (羅建峰)
5.2 The Fundamental Theorem (陳建文)
5.4 The Galois Group of a Polynomial  (劉侖欣) (黃思綸)
5.5 Finite Field  (林詒琪)
5.8 Cyclotomic Extension  (葉彬)
5.9 Radical Extension (陳巧玲)  (周彥伶) (林育生)
                    Fundamental Theorem of Algebra (黃正一)