Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583868 | Journal of Algebra | 2016 | 28 Pages |
Abstract
We show that the Sylow p-subgroups of a symmetric group, respectively an alternating group, are characterized as the p-subgroups containing all elementary abelian p -subgroups up to conjugacy of the symmetric group, respectively the alternating group. We apply the characterization result for symmetric groups to compute the vertices of the hook Specht modules associated to the partition (kp−p,1p)(kp−p,1p) under the assumption that k≡1modp and k≢1modp2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Eugenio Giannelli, Kay Jin Lim, Mark Wildon,