\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.1.1}{General aims of Wedderga package}{chapter.1}% 2
\BOOKMARK [1][-]{section.1.2}{Installation and system requirements}{chapter.1}% 3
\BOOKMARK [1][-]{section.1.3}{Main functions of Wedderga package}{chapter.1}% 4
\BOOKMARK [0][-]{chapter.2}{Wedderburn decomposition}{}% 5
\BOOKMARK [1][-]{section.2.1}{Wedderburn decomposition of a group algebra}{chapter.2}% 6
\BOOKMARK [1][-]{section.2.2}{Simple quotients}{chapter.2}% 7
\BOOKMARK [0][-]{chapter.3}{Strong Shoda pairs}{}% 8
\BOOKMARK [1][-]{section.3.1}{Computing strong Shoda pairs}{chapter.3}% 9
\BOOKMARK [1][-]{section.3.2}{Properties related with Shoda pairs}{chapter.3}% 10
\BOOKMARK [0][-]{chapter.4}{Idempotents}{}% 11
\BOOKMARK [1][-]{section.4.1}{Computing idempotents from character table}{chapter.4}% 12
\BOOKMARK [1][-]{section.4.2}{Testing lists of idempotents for completeness}{chapter.4}% 13
\BOOKMARK [1][-]{section.4.3}{Idempotents from Shoda pairs}{chapter.4}% 14
\BOOKMARK [1][-]{section.4.4}{Complete set of orthogonal primitive idempotents from Shoda pairs and cyclotomic classes}{chapter.4}% 15
\BOOKMARK [0][-]{chapter.5}{Crossed products and their elements}{}% 16
\BOOKMARK [1][-]{section.5.1}{Construction of crossed products}{chapter.5}% 17
\BOOKMARK [1][-]{section.5.2}{Crossed product elements and their properties}{chapter.5}% 18
\BOOKMARK [0][-]{chapter.6}{Useful properties and functions}{}% 19
\BOOKMARK [1][-]{section.6.1}{Semisimple group algebras of finite groups}{chapter.6}% 20
\BOOKMARK [1][-]{section.6.2}{Operations with group rings elements}{chapter.6}% 21
\BOOKMARK [1][-]{section.6.3}{Cyclotomic classes}{chapter.6}% 22
\BOOKMARK [1][-]{section.6.4}{Other commands}{chapter.6}% 23
\BOOKMARK [0][-]{chapter.7}{Functions for calculating Schur indices and identifying division algebras}{}% 24
\BOOKMARK [1][-]{section.7.1}{Main Schur Index and Division Algebra Functions}{chapter.7}% 25
\BOOKMARK [1][-]{section.7.2}{Cyclotomic Reciprocity Functions }{chapter.7}% 26
\BOOKMARK [1][-]{section.7.3}{Local index functions for Cyclic Cyclotomic Algebras}{chapter.7}% 27
\BOOKMARK [1][-]{section.7.4}{Local index functions for Non-Cyclic Cyclotomic Algebras}{chapter.7}% 28
\BOOKMARK [1][-]{section.7.5}{Local index functions for Rational Quaternion Algebras}{chapter.7}% 29
\BOOKMARK [1][-]{section.7.6}{Functions involving Cyclic Algebras}{chapter.7}% 30
\BOOKMARK [0][-]{chapter.8}{Applications of the Wedderga package}{}% 31
\BOOKMARK [1][-]{section.8.1}{Coding theory applications}{chapter.8}% 32
\BOOKMARK [0][-]{chapter.9}{The basic theory behind Wedderga}{}% 33
\BOOKMARK [1][-]{section.9.1}{Group rings and group algebras}{chapter.9}% 34
\BOOKMARK [1][-]{section.9.2}{Semisimple group algebras}{chapter.9}% 35
\BOOKMARK [1][-]{section.9.3}{Wedderburn components}{chapter.9}% 36
\BOOKMARK [1][-]{section.9.4}{Characters and primitive central idempotents}{chapter.9}% 37
\BOOKMARK [1][-]{section.9.5}{Central simple algebras and Brauer equivalence}{chapter.9}% 38
\BOOKMARK [1][-]{section.9.6}{Crossed Products}{chapter.9}% 39
\BOOKMARK [1][-]{section.9.7}{Cyclic Crossed Products}{chapter.9}% 40
\BOOKMARK [1][-]{section.9.8}{Abelian Crossed Products}{chapter.9}% 41
\BOOKMARK [1][-]{section.9.9}{Classical crossed products}{chapter.9}% 42
\BOOKMARK [1][-]{section.9.10}{Cyclic Algebras}{chapter.9}% 43
\BOOKMARK [1][-]{section.9.11}{Cyclotomic algebras}{chapter.9}% 44
\BOOKMARK [1][-]{section.9.12}{Numerical description of cyclotomic algebras}{chapter.9}% 45
\BOOKMARK [1][-]{section.9.13}{Idempotents given by subgroups}{chapter.9}% 46
\BOOKMARK [1][-]{section.9.14}{Shoda pairs of a group}{chapter.9}% 47
\BOOKMARK [1][-]{section.9.15}{Strong Shoda pairs of a group}{chapter.9}% 48
\BOOKMARK [1][-]{section.9.16}{Strongly monomial characters and strongly monomial groups}{chapter.9}% 49
\BOOKMARK [1][-]{section.9.17}{Cyclotomic Classes and Strong Shoda Pairs}{chapter.9}% 50
\BOOKMARK [1][-]{section.9.18}{Theory for Local Schur Index and Division Algebra Part Calculations}{chapter.9}% 51
\BOOKMARK [1][-]{section.9.19}{ Obtaining Algebras with structure constants as terms of the Wedderburn decomposition }{chapter.9}% 52
\BOOKMARK [1][-]{section.9.20}{A complete set of orthogonal primitive idempotents}{chapter.9}% 53
\BOOKMARK [1][-]{section.9.21}{Applications to coding theory}{chapter.9}% 54
\BOOKMARK [0][-]{chapter*.5}{References}{}% 55
\BOOKMARK [0][-]{section*.6}{Index}{}% 56
