Blocks and virtually irreducible lattices

Theorem (5.11). Let H be a subgroup of G and let b be an admissible block of SH with defect group D. If every automorphism of D which preserves conjugacy classes is an inner automorphism, then there is a virtually irreducible SH-lattice in b with vertex D such that U$\sp{\rm G}$ = V $\oplus$ W with V virtually irreducible and U $\not\vert$ W$\sb{\rm H}$.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Ellers, Harald Erich Herbert

Contributors dc:contributor

• Dade, Everett C.

• Mathematics

Statement dc:rights

• Copyright 1989 Ellers, Harald Erich Herbert

Language dc:language

eng

Identifier

AAI9010852
(UMI)AAI9010852

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19169