A CONSTRUCTION OF (3)OVER-CAPMCL AND SOME REPRESENTATION-THEORY IN CHARACTERISTIC-5

Authors
LEMPKEN W STASZEWSKI R
Citation
W. Lempken et R. Staszewski, A CONSTRUCTION OF (3)OVER-CAPMCL AND SOME REPRESENTATION-THEORY IN CHARACTERISTIC-5, Linear algebra and its applications, 192, 1993, pp. 205-234
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
192
Year of publication
1993
Pages
205 - 234
Database
ISI
SICI code
0024-3795(1993)192:<205:ACO(AS>2.0.ZU;2-S
Abstract
We construct the group 3McL as an irreducible subgroup of GL45(25) and then use this to determine the remaining 5-modular irreducible matrix representations together with the corresponding vertices and sources. We also obtain the nonfaithful irreducible 5-modular characters of 3M cL and the corresponding decomposition matrix.