Vertices of Modules and Decomposition Numbers of C2 ≀ Sn
Given n ∈ N , we consider the imprimitive wreath product C 2 ≀ S n . We study the structure of the p -modular reduction of modules whose ordinary characters form an involution model of C 2 ≀ S n , where p is an odd prime. We describe the vertices of these modules, and we use this description of the...
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| Veröffentlicht in: | Algebras and representation theory 2020, Vol.23 (1), p.95-123 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Given
n
∈
N
, we consider the imprimitive wreath product
C
2
≀
S
n
. We study the structure of the
p
-modular reduction of modules whose ordinary characters form an involution model of
C
2
≀
S
n
, where
p
is an odd prime. We describe the vertices of these modules, and we use this description of the vertices to determine certain decomposition numbers of
C
2
≀
S
n
. |
|---|---|
| ISSN: | 1386-923X 1572-9079 |
| DOI: | 10.1007/s10468-018-9839-8 |