THE 2-MODULAR AND 3-MODULAR DECOMPOSITION NUMBERS FOR THE SPORADIC SIMPLE ONAN GROUP AND ITS TRIPLE COVER

Authors
JANSEN C WILSON RA
Citation
C. Jansen et Ra. Wilson, THE 2-MODULAR AND 3-MODULAR DECOMPOSITION NUMBERS FOR THE SPORADIC SIMPLE ONAN GROUP AND ITS TRIPLE COVER, Journal of the London Mathematical Society, 57, 1998, pp. 71-90
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of the London Mathematical Society → ACNP
ISSN journal
00246107
Volume
57
Year of publication
1998
Part
1
Pages
71 - 90
Database
ISI
SICI code
0024-6107(1998)57:<71:T2A3DN>2.0.ZU;2-4
Abstract
The 2-modular and 3-modular decomposition numbers for the sporadic sim ple O'Nan group O'N and its triple cover are determined. The results a re obtained with the help of the computer algebra packages MeatAxe and GAP. Permutation modules and tensor products of modules have been con densed. The result relies on the construction of a 153-dimensional rep resentation for 3.O'N over GF(4) and a 154-dimensional representation for O'N over GF(3).