Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Retrieving information about a group from its character table

Tools
- Tools
+ Tools

Mattarei, Sandro (1992) Retrieving information about a group from its character table. PhD thesis, University of Warwick.

[img]
Preview
PDF
WRAP_Theses_Mattarei_1992.pdf - Submitted Version - Requires a PDF viewer.

Download (2863Kb) | Preview
Official URL: http://webcat.warwick.ac.uk/record=b3227920~S15

Request Changes to record.

Abstract

This thesis concerns character tables of finite soluble groups. In particular, our main objective is that of showing that the derived length of a soluble group G is not determined by the character table of G. In fact, in Chapters 5 and 6 we shall construct pairs (G, H) of groups which have identical character tables but different derived lengths, namely 2 and 3. A more general result will be proved in Chapter 7, namely that for any natural number n > 2, there exist pairs (G, H) of groups with identical character tables, and derived lengths n and n + 1 respectively. Two by-products of our investigation are a method for comparing character tables in special situations (in Chapter 4), and a description of the character tables of wreath products (in Chapter 7).

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Solvable groups, Finite groups
Official Date: July 1992
Dates:
DateEvent
July 1992UNSPECIFIED
Institution: University of Warwick
Theses Department: Mathematics Institute
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Hawkes, Trevor O., 1936-
Sponsors: Consiglio nazionale delle ricerche (Italy)
Format of File: pdf
Extent: 138 leaves
Language: eng

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us