On extending Scott modules

Gullon, Alec (2017) On extending Scott modules. PhD thesis, UNSPECIFIED.

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Abstract

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:
/dk/atira/pure/subjectarea/aacsb/contributionstopractice
Subjects:
ID Code:
88895
Deposited By:
Deposited On:
23 Nov 2017 00:54
Refereed?:
No
Published?:
Published
Last Modified:
05 Dec 2020 06:48