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Arithmetical Similarities

Arithmetical Similarities Prime Decomposition and Finite Group Theory - Oxford Mathematical Monographs

Hardback (30 Apr 1998)

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Publisher's Synopsis

This book deals with the characterization of extensions of number fields in terms of the decomposition of prime ideals, and with the group-theoretic questions arising from this number-theoretic problem. One special aspect of this question is the equality of Dedekind zeta functions of different number fields. This is an established problem which was solved for abelian extensions by class field theory, but which was only studied in detail in its general form from around 1970. The basis for the new results was a fruitful exchange between number theory and group theory. Some of the outstanidng results are based on the complete classification of all finite simple groups. This book reports on the great progress achieved in this period. It allows access to the new developments in this part of algebraic number theory and contains a unique blend of number theory and group theory. The results appear for the first time in a monograph and they partially extend the published literature.

About the Publisher

Oxford University Press

Oxford University Press is a department of the University of Oxford. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide. Our products cover an extremely broad academic and educational spectrum, and we aim to make our content available to our users in whichever format suits them best.We publish for all audiences-from pre-school to secondary level schoolchildren; students to academics; general readers to researchers; individuals to institutions. Our range includes dictionaries, English language teaching materials, children's books, journals, scholarly monographs, printed music, higher education textbooks, and schoolbooks.

Book information

ISBN: 9780198535980
Publisher: OUP OXFORD
Imprint: Oxford University Press
Pub date:
DEWEY: 512.7
DEWEY edition: 21
Language: English
Number of pages: 275
Weight: 575g
Height: 242mm
Width: 161mm
Spine width: 19mm