On extending Scott modules

Gullon, Alec and Mazza, Nadia (2017) On extending Scott modules. PhD thesis, Lancaster University.

[thumbnail of 2017agullonphd]
PDF (2017agullonphd)
thesis.pdf - Published Version
Available under License Creative Commons Attribution-NoDerivs.

Download (1MB)


We study a variety of questions related to the Scott modules S(G,Q) associated to a finite group G, where Q denotes a p-subgroup of G for a given prime p. The main concept we study is that of a p-extendible group, which we define to be a group in which the dimension of S(G,Q) is minimal for all p-subgroups Q of G. We study those Frobenius groups which are p-extendible and complete a classification of the local subgroups of the sporadic groups which are p-extendible. Furthermore, we study Scott modules associated to finite classical groups which admit (B,N)-pairs that are split at characteristic p. The thesis concludes with some considerations about the second relative syzygy with respect to a subgroup Q for a certain class of p-groups P.

Item Type:
Thesis (PhD)
Uncontrolled Keywords:
?? contributions to practice ??
ID Code:
Deposited By:
Deposited On:
23 Nov 2017 00:54
Last Modified:
04 Jun 2024 23:33