Continuous cohomology of permutation groups on profinite modules

被引：3

作者：

Evans, DM ^{[1
]}

Hewitt, PR

机构：

[1] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

[2] Univ Toledo, Dept Math, Toledo, OH 43606 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 04期

关键词：

cohomology; permutation groups; profinite modules;

D O I：

10.1080/00927870500454125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Model theorists have made use of low-dimensional continuous cohomology of infinite permutation groups on profinite modules, see Ahlbrandt and Ziegler (1991), Evans (1997b), Evans et al. (1997), and Hodges and Pillay (1994), for example. We expand the module category in order to widen the cohomological toolkit. For an important class of groups we use these tools to establish criteria for finiteness of cohomology.

引用

页码：1251 / 1264

页数：14

共 12 条

[1] COUNTABLE PRODUCTS AND SUMS OF LINES AND CIRCLES - THEIR CLOSED SUBGROUPS, QUOTIENTS AND DUALITY PROPERTIES [J].

BROWN, R ;

HIGGINS, PJ ;

MORRIS, SA .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (JUL) :19-32

[2]

BUCHSBAUM D, 1959, ANN MATH, V69, P199

[3]

BUCHSBAUM D, 1960, ANN MATH, V71, P66

[4]

Dugald Macpherson, 1997, LONDON MATH SOC LECT, P1

[5] Finite covers with finite kernels [J].

Evans, DM .

ANNALS OF PURE AND APPLIED LOGIC, 1997, 88 (2-3) :109-147

[6] Computation of first cohomology groups of finite covers [J].

Evans, DM .

JOURNAL OF ALGEBRA, 1997, 193 (01) :214-238

[7]

Gisela Ahlbrandt, 1991, ARCH MATH LOGIC, V31

[8]

Guichardet A., 1980, COHOMOLOGIE GROUPES

[9] COPRODUCTS OF TOPOLOGICAL ABELIAN-GROUPS [J].

HIGGINS, PJ .

JOURNAL OF ALGEBRA, 1977, 44 (01) :152-159

[10]

HODGES W, 1994, J LOND MATH SOC, V50, P1

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