Infinite-dimensional cohomology of SL2 (Z[t, t-1])

JOURNAL OF ALGEBRA

卷:462

Article

Cobb, Sarah^1,2 

[1] Univ Utah, Dept Math, 155 S 1400 Room 238, Salt Lake City, UT 84112 USA

[2] Midwestern State Univ, Dept Math, 3410 Taft Blvd, Wichita Falls, TX 76308 USA

关键词: Geometric group theory;    Buildings;    Cohomology;   

DOI  :  10.1016/j.jalgebra.2016.05.017

来源: Elsevier

【 摘 要 】

For J an integral domain and F its field of fractions, we construct a map from the 3-skeleton of the classifying space for Gamma = SL2(J[t,t(-1)]) to a Euclidean building on which Gamma acts. We then find an infinite family of independent cocycles in the building and lift them to the classifying space, thus proving that the cohomology group H-2 (SL2 (J[t,t(-1)]; F) is infinite-dimensional. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free