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Characters of Groups and Lattices over Orders

✍ Scribed by Alexander Zimmermann


Publisher
de Gruyter
Year
2022
Tongue
English
Leaves
372
Category
Library

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✦ Table of Contents


Preface
Contents
1 Ring theoretical foundations
2 Characters
3 Tensor products, Mackey formulas and Clifford theory
4 Bilinear forms on modules
5 Brauer induction, Brauer’s splitting field theorem
6 Some homological algebra methods in ring theory
7 Some algebraic number theory
8 Some notions of integral representations
9 Solution to selected exercises
Bibliography
Index


πŸ“œ SIMILAR VOLUMES


Characters of Groups and Lattices over O
✍ Alexander Zimmermann πŸ“‚ Library πŸ“… 2022 πŸ› De Gruyter 🌐 English

<p>This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nit

Characters of Groups and Lattices over O
✍ Alexander Zimmermann πŸ“‚ Library πŸ“… 2022 πŸ› De Gruyter 🌐 English

<p><span>This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst de

Theory of Lattice-Ordered Groups
✍ Michael Darnel πŸ“‚ Library πŸ“… 1994 πŸ› CRC Press 🌐 English

Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered gr

The Theory of Lattice-Ordered Groups
✍ V. M. Kopytov, N. Ya. Medvedev (auth.) πŸ“‚ Library πŸ“… 1994 πŸ› Springer Netherlands 🌐 English

<p>A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natural way. These connections were established in the period between the end of 19th and beginning of 20th century. It was realized that order