TORSION-FREE SPACE-GROUPS, 2-COHOMOLOGY, AND SCOTT MODULES

Authors
CLIFF G ZHENG HL
Citation
G. Cliff et Hl. Zheng, TORSION-FREE SPACE-GROUPS, 2-COHOMOLOGY, AND SCOTT MODULES, Journal of algebra, 180(3), 1996, pp. 889-896
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of algebra → ACNP
ISSN journal
00218693
Volume
180
Issue
3
Year of publication
1996
Pages
889 - 896
Database
ISI
SICI code
0021-8693(1996)180:3<889:TS2ASM>2.0.ZU;2-X
Abstract
For a subgroup C of order p of a finite group G, we find the summand M of the p-adic permutation module ind(C)(G)Z(p) such that H-2(G, M) no t equal 0, and determine when M is the Scott module. This is applied t o the study of torsion-free space groups. (C) 1996 Academic Press, Inc .