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Tuesday, August 4, 2020 | History

4 edition of Applications of finite groups found in the catalog.

Applications of finite groups

John S. Lomont

Applications of finite groups

by John S. Lomont

  • 182 Want to read
  • 15 Currently reading

Published by Dover Publications in New York .
Written in English

    Subjects:
  • Finite groups.,
  • Matrices.,
  • Mathematical physics.

  • Edition Notes

    StatementJ.S. Lomont.
    Classifications
    LC ClassificationsQA177 .L66 1993
    The Physical Object
    Paginationxi, 346 p. :
    Number of Pages346
    ID Numbers
    Open LibraryOL1730439M
    ISBN 100486673766
    LC Control Number92034875

      An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio. An illustration of a " floppy disk. Software. An illustration of two photographs. Theory and applications of finite groups Item Preview remove-circlePages:   Finite element analysis has been widely applied to study biomedical problems. This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations.

    This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical background. The work concentrates mostly on applications of character theory to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number. This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups. It is subdivided into three parts: \(\pi\)-theory, character correspondences, and M-groups.

    Book Abstract: Discover applications of Fourier analysis on finite non-Abelian groups The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods. The group theory contains all the main topics of undergraduate algebra, including subgroups, cosets, normal subgroups, quotient groups, homomorphisms, and isomorphism theorems and introduces students to the important families of groups, with a particular emphasis on finite groups, such as cyclic, abelian, dihedral, permutation, and matrix groups.


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Applications of finite groups by John S. Lomont Download PDF EPUB FB2

Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures.

The book first elaborates on matrices, groups, and Edition: 1. Applications of Finite Groups Paperback – Septem by J. Lomont (Author) out of 5 stars 1 rating. See all formats and editions Hide other formats and editions. Price New from Used from Kindle "Please retry" $ — — Hardcover "Please retry" $ — $ Paperback "Please retry" $Cited by: The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).

Try the new Google Applications of finite groups book. Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. Try the new Google Books Get print book. No eBook available Theory and Applications of Finite Groups George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson Full view - Theory and Applications of Finite Groups by G.

Miller, H. Blichfeldt, L. Dickson. Publisher: J. Wiley ISBN/ASIN: Number of pages: Description: The aim of this book is to present in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time to preserve the advantage which arises when each branch of an extensive.

Book Description. Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations.

A guide to methods and results in a new area. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts.

The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules. This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner both accessible to the beginner and suitable for.

The range of groups being considered has gradually expanded from finite permutation groups and special examples of matrix groups to abstract groups that may be specified through a presentation by generators and relations.

Permutation groups. The first class of groups to undergo a systematic study was permutation any set X and a collection G of bijections of X into itself (known. This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and noncommutative.

Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner both accessible to the beginner and suitable for graduate research. With applications in chemistry, error-correcting codes, data analysis, graph theory.

“The book under review has as its main goal to give an introductory overview of the construction and main properties of all finite simple groups. This book is the first one that attempts to give a systematic treatment of all finite simple groups, using the more recent and efficient constructions.

One very basic and fun application of representations of finite groups (or really, actions of finite groups) would be the study of various puzzles, like the Rubik Cube.

David Singmaster has a nice little book titled "Handbook of Cubik Math" which could potentially. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG.

The book is based on the author's lectures at the September Venice Summer School on Finite Groups. This book is a unique survey of the whole field of modular representation theory of finite groups. The main topics are block theory and module theory of group representations, including blocks with cyclic defect groups, symmetric groups, groups of Lie type, local-global conjectures.

reading and reference will be Martin Isaacs’ Character Theory of Finite Groups. We will cover about half of the book over the course of this semester.

It is (according to Professor Hermann) a readable book, so it would be appropriate for this (planned-to-be) reading course. Representation Theory of Finite Groups Professor: Dr.

Peter Hermann. Thus it is the simplest possible group for Fourier analysis. Yet it seems to have the most applications. As we saw in the last chapter, it may be viewed as the multiplicative group of n th roots of unity.

This can be drawn as n equally spaced points on a circle of radius 1. Thus ℤ/ n ℤ is a finite analogue of the circle (or even of the real.

Additional Physical Format: Online version: Lomont, John S., Applications of finite groups. New York, Academic Press, (OCoLC) Document Type. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications.

Additional Physical Format: Online version: Lomont, John S., Applications of finite groups. New York: Dover Publications, (OCoLC). Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

1 With applications to finite groups and orders.This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner that is both accessible to the.

Theory and Applications of Finite Groups [Miller, G.] on *FREE* shipping on qualifying offers. Theory and Applications of Finite GroupsCited by: