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[null,"1.","Record Nr.",null,"UNISA996499867503316"]
[null,null,"Autore",null,"Chirivì Rocco"]
[null,null,"Titolo",null,"Selected exercises in algebra . Volume 2 / / Rocco Chirivì, Ilaria Del Corso, Roberto Dvornicich"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Springer, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"3-031-12651-3"]
[null,null,"Descrizione fisica",null,"1 online resource (301 pages)"]
[null,null,"Collana",null,"Unitext - Matematica per il 3 + 2 ; ; Volume 140"]
[null,null,"Disciplina",null,"512.9"]
[null,null,"Soggetti",null,"Algebra"]
[{"$nulls":4},"Àlgebra"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- 1 Theory -- 1.1 Groups -- 1.1.1 Basic Notions -- 1.1.2 Homomorphism Theorems -- 1.1.3 Free Groups -- 1.1.4 Presentations of Groups -- 1.1.5 The Dihedral Group -- 1.1.6 Group Automorphisms -- 1.1.7 Commutators and Abelianisation -- 1.1.8 Group Actions -- 1.1.9 The Action by Conjugation -- 1.1.10 The Action by Multiplication -- 1.1.11 p-Groups -- 1.1.12 Permutations -- 1.1.13 Abelian Groups -- 1.1.14 Semidirect Product -- 1.1.15 Sylow Theorems -- 1.1.16 Simple Groups -- 1.2 Rings -- 1.2.1 Basic Notions -- 1.2.2 Maximal and Prime Ideals -- 1.2.3 Quotient Rings -- 1.2.4 Ideal Operations -- 1.2.5 Fraction Fields and Localisations -- 1.2.6 Divisibility -- 1.2.7 Euclidean Domains -- 1.2.8 Principal Ideal Domains -- 1.2.9 Unique Factorisation Domains -- 1.2.10 Gaussian Integers -- 1.3 Fields and Galois Theory -- 1.3.1 Basic Notions -- 1.3.2 Homomorphism Extensions -- 1.3.3 Galois Correspondence -- 1.3.4 Cyclotomic Extensions -- 1.3.5 Straightedge and Compass Constructions -- 1.4 Preliminary Exercises -- 2 Exercises -- 2.1 Groups -- 2.2 Rings -- 2.3 Fields and Galois Theory -- 3 Solutions -- 3.1 Groups -- 3.2 Rings -- 3.3 Fields and Galois theory -- Index."]