toc file for a-first-course-in-abstract-algebra-jb-fraleigh-7ed2003.pdf

generate-toc-for-afciaa-pdf.sh

$ pip install -U pdf.tocgen
$ pdftocio in.pdf < toc

toc

"Contents" 1
"Preface" 4
    "Instructor's Preface" 4
    "Student's Preface" 7
    "Dependence Chart" 9
"Set And Relations" 10
    "notations" 10
    "Relations Between Sets" 12
    "Cardinality" 13
    "Partitions and Equivalence Relations" 15
    "Exercises" 17
"Groups and Subgroups" 20
    "1 Introduction and Examples" 20
    "2 Binary Operations" 29
    "3 Isomporphic Binary Structures" 37
    "4 Groups" 45
    "5 Subgroups" 58
    "6 Cyclic Groups" 68
    "7 Generating Sets and Cayley Diagraphs" 77
"Permutations, Cosets, and Direct Products" 83
    "8 Groups of Permutations" 83
    "9 Orbits, Cycles, and the Alternating Groups" 95
    "10 Cosets and the Theorem of Lagrange" 104
    "11 Driect Products and Finitely Generated Abellian Groups" 112
    "12 Plane Isometries" 122
"Homomorphisms and Factor Groups" 132
    "13 Homomorphisms " 132
    "14 Factor Groups" 142
    "15 Factor-Group Computations and Simple Groups" 151
    "16 Group Action on a Set" 161
    "17 Application of G-Sets to Counting" 168
"Rings and Fields" 173
    "18 Rings and Fields" 173
    "19 Integral Domains" 183
    "20 Fermat's and Euler's Theorems" 190
    "21 The Field of Quotients of an Integral Domain" 196
    "22 Rings of Polynomials" 204
    "23 Factorization of Polynomials Over a Field" 215
    "24 NonCommutative Examples" 226
    "25 Ordered Rings and Fields" 233
"Ideals and Factor Rings" 242
    "26 Homomorphisms and Factor Rings" 242
    "27 Prime and Maximal Ideals" 251
    "28 Grobner Bases for Ideals" 259
"Extension Fields" 270
    "29 Introduction to Extension Fields" 270
    "30 Vector Spaces" 279
    "31 Algebraic Extensions" 288
    "32 Geometric Constructions" 296
    "33 Finite Fields" 305
"Advanced Group Theory" 311
    "34 Isomporphism Theorems" 311
    "35 Series of Groups" 315
    "36 Sylow Theorems" 325
    "37 Application of the Sylow Theory" 331
    "38 Free Abelian Groups" 337
    "39 Free Groups" 345
    "40 Group Presentations" 350
"Groups in Topology" 359
    "41 Simplificail Complexes and Homology Groups" 359
    "42 Computations of Homology Groups" 367
    "43 More Homology Computations and Applications" 375
    "44 Homomological Algebra" 384
"Factorization" 393
    "45 Unique Factorization Domains" 393
    "46 Eulidean Domains" 405
    "47 Gaussian Integers and Multiplicative Norms" 412
"Automorphisms and Galois Theory" 418
    "48 Automorphisms of Fields" 418
    "49 The Isomporphism Extension Theorem" 427
    "50 Splitting Fields" 434
    "51 Separable Extensions" 439
    "52 Totally Inseparable Extensions" 447
    "53 Galois Theory" 451
    "54 Illustrations of Galois Theory" 460
    "55 Cyclotomic Extensions" 467
    "56 Insolvability of the Quintic" 473
"Appendix: Matrix Algebra" 479
"Bibliography" 484
"Notations" 487
"Answers" 491
    "0" 491
    "1-3" 492
    "4-6" 493
    "7-8" 494
    "9" 495
    "10" 496
    "11-12" 497
    "13" 498
    "14-16" 499
    "17-19" 500
    "20-23" 501
    "24-26" 502
    "27-29" 503
    "30-34" 504
    "35-36" 505
    "37-40" 506
    "41-43" 507
    "44" 508
    "45-48" 509
    "49-53" 510
    "54" 511
    "55-56" 512
"Index" 513