Computing with characters of finite groups

H. Pahlings
Additional contact information
H. Pahlings: RWTH Aachen, Lehrstuhl D für Mathematik

A chapter in Topics in Computational Algebra, 1990, pp 41-56 from Springer

Abstract: Abstract Character tables of finite groups are an important tool in Representation Theory and are particularly important also for applications. The character table of a finite group (in this paper this will always mean the table of irreducible characters over C, in contrast to Brauer-character tables to be discussed later) contains a wealth of information on the group usually in a relatively compact form. The latter is true in particular for simple groups; even for large groups where it is completely out of the question to compute with elements or even store them in a computer, the character table might still be easily manageable. For instance the Monster group (also called Fischer Griess group or ”friendly giant”) has about 1054 elements but its character table is just a 194 × 194 matrix. To make full use of the information encoded in the character table it is usually necessary to perform calculations which for larger examples one certainly would not like to do without the help of a computer. So it is certainly useful to have character tables not only in book form but also stored on a computer.

Keywords: 20C15; 20D08; Characters; sporadic groups; combinatorics of Clifford matrices (search for similar items in EconPapers)
Date: 1990
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-3424-8_2

Ordering information: This item can be ordered from
http://www.springer.com/9789401134248

DOI: 10.1007/978-94-011-3424-8_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().