Integral cohomology and detection of 𝑤-basic 2-groups-Reference-Cited by-同舟云学术

Integral cohomology and detection of 𝑤-basic 2-groups

Published:1996 Issue:213 Volume:65 Page:291-306
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Pearson Kimberly

Abstract

In this paper we compute the cohomology H ∗ ( G ; Z w ) H^*(G;Z^w) of all w w -basic 2-groups ( G , w ) (G,w) with integral coefficients twisted by the orientation character w w . We also calculate appropriate restiction maps and thus prove that the cohomology of any w w -basic group is detected by subgroups isomorphic to one of five types, and we provide a sample application of this main theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-213/S0025-5718-96-00679-5/S0025-5718-96-00679-5.pdf

Reference17 articles.

1. Torsion in 𝐻-spaces;Browder, William;Ann. of Math. (2),1961

2. Steinitz field towers for modular fields;MacLane, Saunders;Trans. Amer. Math. Soc.,1939

3. [3] J. F. Davis, The rational symmetric signature of manifolds with finite fundamental group.

4. Semicharacteristics, bordism, and free group actions;Davis, James F.;Trans. Amer. Math. Soc.,1989

5. The 𝑚𝑜𝑑𝑝 cohomology rings of the nonabelian split metacyclic 𝑝-groups;Diethelm, Thomas;Arch. Math. (Basel),1985

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Groups that act pseudofreely on S2×S2;Pacific Journal of Mathematics;2007-04-01

2. The integral cohomology of the Bianchi groups;Transactions of the American Mathematical Society;2005-04-13

3. The rational symmetric signature of manifolds with finite fundamental group;Topology;1998-07