Irrationalities and their p-modular reductions

Irrationalities and Conway polynomials

Appendix 1 of the ATLAS of Brauer Characters lists, for several primes p, common irrationalities which occur in p-modular tables in the book, together with their images under the reduction to finite fields in characteristic p. The exact format is described in the Introduction and in Appendix 1 of the ATLAS of Brauer Characters,

Extended versions of these lists, in the same format, are available via the links below, in different files for different characteristics.

Information about Conway polynomials has been collected by Frank Lübeck.

Characteristics Available

2 3 5 7 11 13 17 19 23 29
31 37 41 43 47 59 61 67 71 73


Any comments are very welcome. If you have found interesting irrationalities missing or if there is a bug, let us know and we will try to address it in the next version of the list. Please send a short email to Thomas Breuer about it.

File created on 21-Oct-2001 by Thomas Breuer.

Last modified: 20-Oct-2010 by Thomas Breuer.