TY - JOUR
T1 - On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups
AU - Magaard, K.
AU - Röhrle, G.
AU - Testerman, D.M.
PY - 2013/8/1
Y1 - 2013/8/1
N2 - Let W be a vector space over an algebraically closed field k. Let H be a quasisimple group of Lie type of characteristic p≠char(k) acting irreducibly on W. Suppose also that G is a classical group with natural module W, chosen minimally with respect to containing the image of H under the associated representation. We consider the question of when H can act irreducibly on a G-constituent of W and study its relationship to the maximal subgroup problem for finite classical groups.
AB - Let W be a vector space over an algebraically closed field k. Let H be a quasisimple group of Lie type of characteristic p≠char(k) acting irreducibly on W. Suppose also that G is a classical group with natural module W, chosen minimally with respect to containing the image of H under the associated representation. We consider the question of when H can act irreducibly on a G-constituent of W and study its relationship to the maximal subgroup problem for finite classical groups.
UR - http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-84875116165&md5=a34fb15aff6a11d9e1096b868b7af32c
U2 - 10.1016/j.jpaa.2012.11.004
DO - 10.1016/j.jpaa.2012.11.004
M3 - Article
AN - SCOPUS:84875116165
SN - 0022-4049
VL - 217
SP - 1427
EP - 1446
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 8
ER -