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Book Categories |
| Introduction | 1 | |
| I | Prime decomposition | 3 |
| 1 | Prime decomposition and group theory | 3 |
| 2 | Prime decomposition and zeta functions | 15 |
| 3 | Class field theory and density theorems | 20 |
| 4 | Artin L-functions | 25 |
| II | Kronecker equivalence | 37 |
| 1 | Introduction and group theoretic description | 37 |
| 2 | Examples of Kronecker classes | 51 |
| 3 | The socle of Kronecker classes | 61 |
| III | Arithmetical equivalence | 75 |
| 1 | Zeta functions and characters | 75 |
| 2 | Relations between arithmetical and Kronecker equivalence | 94 |
| 3 | Radical extensions | 105 |
| 4 | Arithmetical equivalence and symmetric designs | 124 |
| IV | Arithmetical homomorphisms | 133 |
| 1 | Linearly equivalent permutation representations | 133 |
| 2 | Class numbers and regulators | 145 |
| 3 | Explicit bounds for class number quotients | 163 |
| V | Kroneckerian fields | 189 |
| 1 | Quadratic extensions | 190 |
| 2 | Quartic extensions | 202 |
| 3 | Generic extensions of degree n | 215 |
| VI | Variations | 227 |
| 1 | Weak Kronecker equivalence and norm groups | 227 |
| 2 | Ramification indices and the adele ring | 234 |
| 3 | Arithmetical similarity in characteristic p | 241 |
| 4 | Arithmetical similarity of algebras | 248 |
| 5 | Isospectral manifolds | 250 |
| Bibliography | 255 | |
| List of notation | 264 | |
| Index | 271 |
| Price | Condition | Delivery | Seller | Action |
| $195.82 | Digital |
| WonderClub |
Willie Gilmore
reviewed Arithmetical Similarities: Prime Decomposition and Finite Group Theory on October 21, 2014
Arithmetical Similarities
Storie davvero intricate, ma divertenti! Questo libriccino contiene 10 piccoli enigmi matematici, che Carroll chiama "nodi" e alcuni sono effettivamente alla portata di tutti. Ti portano a ragionare, ma sicuramente la presenza delle soluzioni e dei commenti dell'autore stesso aiutano nello svolgimento, se ci sono dubbi. Altrimenti, si legge direttamente la soluzione e via! Infatti questi nodi venivano pubblicati periodicamente da Carroll su una rivista e i lettori avevano la possibilità di risolverli e inviare la loro risposta. Dopodiché, nel numero successivo, lui scriveva la risoluzione e stilava una classifica dei migliori e dei peggiori. Inutile dire quanto sarcasmo usasse per beffarsi di chi sbagliava! In conclusione, sia che ci si lasci coinvolgere nei ragionamenti matematici, sia che si voglia semplicemente scoprire un lato dell'autore meno conosciuto, è una piccola chicca da tenere in libreria per gli appassionati di Lewis Carroll.
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Add Arithmetical Similarities: Prime Decomposition and Finite Group Theory, Focusing on fruitful exchanges between group theory and number theory, this book examines recent work in the characterization of extensions of number fields in terms of the decomposition of prime ideals. A key problem in this area is establishing the equa, Arithmetical Similarities: Prime Decomposition and Finite Group Theory to the inventory that you are selling on WonderClubX
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Add Arithmetical Similarities: Prime Decomposition and Finite Group Theory, Focusing on fruitful exchanges between group theory and number theory, this book examines recent work in the characterization of extensions of number fields in terms of the decomposition of prime ideals. A key problem in this area is establishing the equa, Arithmetical Similarities: Prime Decomposition and Finite Group Theory to your collection on WonderClub |
