Torsion-Free Space Groups, 2-Cohomology, and Scott Modules

✍ Scribed by Gerald Cliff; Hongliu Zheng

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 141 KB
• Volume: 180
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0100

✦ Synopsis

For a subgroup C of order p of a finite group G, we find the summand M of the G 2 Ž . 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.