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Multiplicities, Scott Modules and Lower Defect Groups

✍ Scribed by Green, J. A.

Book ID
120095331
Publisher
Oxford University Press
Year
1983
Tongue
English
Weight
252 KB
Volume
s2-28
Category
Article
ISSN
0024-6107

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✍ Gerald Cliff; Hongliu Zheng πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 141 KB

For a subgroup C of order p of a finite group G, we find the summand M of the G 2 Ε½ . p -adic permutation module ind Z such that H G, M /0, and determine when C p M is the Scott module. This is applied to the study of torsion-free space groups.