31 citations · 54 across the 28 of their papers we have counts for
5 papers · 1 filter
Sylow subgroups of symmetric and alternating groups and the vertex of in characteristic
Eugenio Giannelli, Kay Jin Lim, Mark Wildon
We show that the Sylow -subgroups of a symmetric group, respectively an alternating group, are characterized as the -subgroups containing all elementary abelian -subgroups…
Vertices of simple modules of symmetric groups labelled by hook partitions
Susanne Danz, Eugenio Giannelli
In this article we study the vertices of simple modules for the symmetric groups in prime characteristic . In particular, we complete the classification of the vertices of simpl…
Hausdorff dimension in -analytic profinite groups
Gustavo A. Fernández-Alcober, Eugenio Giannelli, Jon González-Sánchez
We study the Hausdorff dimension of R-analytic subgroups in an R-analytic profinite group, where R is a pro-p ring whose asso- ciated graded ring is an integral domain. In particul…
On permutation modules and decomposition numbers for symmetric groups
Eugenio Giannelli
We study the indecomposable summands of the permutation module obtained by inducing the trivial -module to the full symmetric group for any field $…
A new lower bound on the vertices of Specht modules for the symmetric groups
Eugenio Giannelli
In this paper we study the vertices of indecomposable Specht modules for symmetric groups. For any given indecomposable non-projective Specht module, the main theorem of the articl…