Project 5: Explorations with the icosahedral group

A.M. Cohen, F.G.M.T. Cuypers, R.J. Riebeek

Research output: Chapter in Book/Report/Conference proceedingChapterPopular


This chapter in the book `Some tapas of computer algebra' is a short project containing many exercises, exploring the structure and properties of the Coxeter group of type $H_3$. This group is given by a certain presentation, and by definition it is also a 3-dimensional reflection group. The first exercises lead from the presentation to the corresponding reflections, after which all the other irreducible complex representations are constructed. Along the way, many useful techniques of computer algebra are applied
Original languageEnglish
Title of host publicationSome tapas of computer algebra / Ed. Arjeh M. Cohen, Hans Cuypers, Hans Sterk
Place of PublicationBerlin
ISBN (Print)3-540-63480-0
Publication statusPublished - 1999

Publication series

NameAlgorithms and computation in mathematics
ISSN (Print)1431-1550


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