ON PERFECT ISOMETRIES AND ISOTYPIES IN ALTERNATING GROUPS

Authors
FONG P HARRIS ME
Citation
P. Fong et Me. Harris, ON PERFECT ISOMETRIES AND ISOTYPIES IN ALTERNATING GROUPS, Transactions of the American Mathematical Society, 349(9), 1997, pp. 3469-3516
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
349
Issue
9
Year of publication
1997
Pages
3469 - 3516
Database
ISI
SICI code
0002-9947(1997)349:9<3469:OPIAII>2.0.ZU;2-N
Abstract
Perfect isometries and isotypies are constructed for alternating group s between blocks with abelian defect groups and the Brauer corresponde nts of these blocks. These perfect isometries and isotypies satisfy ad ditional compatibility conditions which imply that an extended Broue c onjecture holds for the principal block of an almost simple group with an abelian Sylow p-subgroup and a generalized Fitting subgroup isomor phic to an alternating group.