On the group cohomology of the semi-direct product <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mo>⋊</mml:mo></mml:mrow><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo>/</mml:mo><mml:mi>m</mml:mi></mml:math> and a conjecture of Adem–Ge–Pan

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On the group cohomology of the semi-direct product Zn⋊ρZ/m and a conjecture of Adem–Ge–Pan–Petrosyan

Published:2012-06 Issue:6 Volume:216 Page:1318-1339
ISSN:0022-4049
Container-title:Journal of Pure and Applied Algebra
language:en
Short-container-title:Journal of Pure and Applied Algebra

Author:

Langer Martin,Lück Wolfgang

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference19 articles.

1. Z/pZ actions on (Sn)k;Adem;Trans. Amer. Math. Soc.,1987

2. Compatible actions and cohomology of crystallographic groups;Adem;J. Algebra,2008

3. Toroidal orbifolds, gerbes and group cohomology;Adem;Trans. Amer. Math. Soc.,2006

4. Schur functors and Schur complexes;Akin;Adv. Math.,1982

5. Introduction to Commutative Algebra;Atiyah,1969

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3. Euler classes and Bredon cohomology for groups with restricted families of finite subgroups;Mathematische Zeitschrift;2013-04-16

4. On cohomology of crystallographic groups with cyclic holonomy of split type;Journal of Algebra;2012-10

5. TOPOLOGICAL K-THEORY OF THE GROUP C*-ALGEBRA OF A SEMI-DIRECT PRODUCT ℤn ⋊ ℤ/m FOR A FREE CONJUGATION ACTION;Journal of Topology and Analysis;2012-06

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