Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - On a strong form of Oliver’s p-group conjecture.
AU - Green, D.
AU - Héthelyi, L.
AU - Mazza, Nadia
PY - 2011/9/15
Y1 - 2011/9/15
N2 - We introduce a stronger and more tractable form of Olivers p-group conjecture, and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group Sn and of the general linear group satisfy both the strong conjecture and its reformulation.
AB - We introduce a stronger and more tractable form of Olivers p-group conjecture, and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group Sn and of the general linear group satisfy both the strong conjecture and its reformulation.
KW - p-Group
KW - Offending subgroup
KW - Quadratic offender
KW - p-Local finite group
U2 - 10.1016/j.jalgebra.2011.05.025
DO - 10.1016/j.jalgebra.2011.05.025
M3 - Journal article
VL - 342
SP - 1
EP - 15
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
IS - 1
ER -