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Books on the topic 'Finite abelian group'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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Consult the top 16 books for your research on the topic 'Finite abelian group.'

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1

Fourier analysis on finite Abelian groups. Boston: Birkhäuser, 2009.

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2

Luong, Bao. Fourier Analysis on Finite Abelian Groups. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4916-6.

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3

Arnold, David M. Abelian Groups and Representations of Finite Partially Ordered Sets. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4419-8750-1.

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4

Stankovic, Radomir S. Fourier analysis on finite groups with applications in signal processing and system design. Hoboken, NJ: Wiley & Sons Inc., 2005.

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5

Symmetric functions and Hall polynomials. 2nd ed. Oxford: Clarendon Press, 1995.

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6

Stanković, Radomir S. Fourier analysis on finite groups with applications in signal processing and system design. Piscataway, NJ: IEEE Press, 2005.

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7

Stanković, Radomir S. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design. New York: John Wiley & Sons, Ltd., 2005.

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8

Jong, Aise Johan de. Moduli of Abelian Varieties and Dieudonné Modules of Finite Group Schemes. 1996.

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9

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Moufang Quadrangles. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0004.

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This chapter proves various results about Moufang quadrangles. It first considers the notions of a proper involutory set, a proper indifferent set, and a proper anisotropic pseudo-quadratic space. It then shows that the root group sequence Ω‎ is isomorphic to a root group sequence of exactly one of six types relating to some proper involutory set, some non-trivial anisotropic quadratic space, some proper indifferent set, some proper anisotropic pseudo-quadratic space, and some quadratic space. It also describes the degree of a finite purely inseparable field extension as a power of the characteristic, an isomorphism from a root group sequence of Δ‎ to the Moufang quadrangle, and abelian and non-abelian groups.

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10

Luong, Bao. Fourier Analysis on Finite Abelian Groups. Springer, 2010.

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11

Arnold, David. Abelian Groups and Representations of Finite Partially Ordered Sets. Springer, 2012.

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12

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.

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13

Herrmann, Diane. Generalized quadrangles in p-groups. 1988.

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14

Arnold, David. Abelian Groups and Representations of Finite Partially Ordered Sets (CMS Books in Mathematics). Springer, 2000.

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15

Direct Sum Decompositions of Torsion-Free Finite Rank Groups (Pure and Applied Mathematics). Chapman & Hall/CRC, 2007.

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16

Caramello, Olivia. Examples of theories of presheaf type. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198758914.003.0011.

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This chapter discusses several classical as well as new examples of theories of presheaf type from the perspective of the theory developed in the previous chapters. The known examples of theories of presheaf type that are revisited in the course of the chapter include the theory of intervals (classified by the topos of simplicial sets), the theory of linear orders, the theory of Diers fields, the theory of abstract circles (classified by the topos of cyclic sets) and the geometric theory of finite sets. The new examples include the theory of algebraic (or separable) extensions of a given field, the theory of locally finite groups, the theory of vector spaces with linear independence predicates and the theory of lattice-ordered abelian groups with strong unit.

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