Publication
Title
Glider representations of group algebra filtrations of nilpotent groups
Author
Abstract
We continue the study of glider representations of finite groups G with given structure chain of subgroups e aS, G (1) aS,aEuro broken vertical bar aS, G (d) = G. We give a characterization of irreducible gliders of essential length e <= d which in the case of p-groups allows to prove some results about classical representation theory. The paper also contains an introduction to generalized character theory for glider representations and an extension of the decomposition groups in the Clifford theory. Furthermore, we study irreducible glider representations for products of groups and nilpotent groups.
Language
English
Source (journal)
Algebras and representation theory. - -
Publication
2018
ISSN
1386-923X
Volume/pages
21 :3 (2018) , p. 529-550
ISI
000433338900003
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 12.06.2018
Last edited 15.10.2021
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