Steinberg Groups for Jordan Pairs

• Main Authors: Loos, Ottmar (Author, http://id.loc.gov/vocabulary/relators/aut), Neher, Erhard (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Progress in Mathematics, 332
• Subjects: Nonassociative rings.; Rings (Algebra).; K-theory.; Number theory.; Group theory.; Non-associative Rings and Algebras.; K-Theory.; Number Theory.; Group Theory and Generalizations.

Steinberg groups, originating in the work of R. Steinberg on Chevalley groups in the nineteen sixties, are groups defined by generators and relations. The main examples are groups modelled on elementary matrices in the general linear, orthogonal and symplectic group. Jordan theory started with a fam...

Table of Contents:

• Preface
• Notation and Conventions
• Groups with Commutator Relations
• Groups Associated with Jordan Pairs
• Steinberg Groups for Peirce Graded Jordan Pairs
• Jordan Graphs
• Steinberg Groups for Root Graded Jordan Pairs
• Central Closedness
• Bibliography
• Subject Index
• Notation Index.