SEMIPRIMITIVITY OF GROUP-ALGEBRAS OF LOCALLY FINITE SIMPLE-GROUPS

Authors
PASSMAN DS ZALESSKII AE
Citation
Ds. Passman et Ae. Zalesskii, SEMIPRIMITIVITY OF GROUP-ALGEBRAS OF LOCALLY FINITE SIMPLE-GROUPS, Proceedings of the London Mathematical Society, 67, 1993, pp. 243-276
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the London Mathematical Society → ACNP
ISSN journal
00246115
Volume
67
Year of publication
1993
Part
2
Pages
243 - 276
Database
ISI
SICI code
0024-6115(1993)67:<243:SOGOLF>2.0.ZU;2-N
Abstract
Let G be a locally finite simple group which is not a linear group. Fo r any field K, we prove that the group algebra K[G] is semiprimitive. The argument is almost entirely group-theoretic in nature and ultimate ly rests upon the classification of the finite simple groups.