Advertisement

Three Substitution Groups. Illustrations of the Symmetric Group S4

  • Joan M. Holland
Part of the Introductory Monographs in Mathematics book series (INMOMA)

Abstract

In section 8.5 we constructed a field G.F.23 consisting of eight polynomials of degree 2 over the field Z2 using an indeterminate R which satisfied the irreducible cubic equation R3 = R + 1. The seven non-zero elements form a cyclic group under multiplication. This enables us to set out a table of reciprocals among its elements as follows:

Keywords

Normal Subgroup Symmetric Group Substitution Group Ringing Order Element Conjugate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Joan M. Holland 1972

Authors and Affiliations

  • Joan M. Holland
    • 1
  1. 1.Bishop Otter CollegeChichesterUK

Personalised recommendations