scholarly journals On Farrell–Tate cohomology of SL 2 over S -integers

2018 ◽  
Vol 512 ◽  
pp. 427-464 ◽  
Author(s):  
Alexander D. Rahm ◽  
Matthias Wendt
Keyword(s):  
Tate Cohomology

scholarly journals A Tate cohomology sequence for generalized Burnside rings

2009 ◽  
Vol 213 (7) ◽  
pp. 1306-1315 ◽  
Author(s):  
Olcay Coşkun ◽  
Ergün Yalçın
Keyword(s):  
Tate Cohomology ◽  
Burnside Rings ◽  
Cohomology Sequence

scholarly journals On formal groups and Tate cohomology in local fields

2018 ◽  
Vol 182 (3) ◽  
pp. 285-299
Author(s):  
Nils Ellerbrock ◽  
Andreas Nickel
Keyword(s):  
Local Fields ◽  
Formal Groups ◽  
Tate Cohomology

Introduction to realizability of modules over Tate cohomology

2005 ◽  
pp. 81-97 ◽  
Author(s):  
David Benson ◽  
Henning Krause ◽  
Stefan Schwede
Keyword(s):  
Tate Cohomology

Non-triviality of Tate cohomology for certain classes of finitep-groups

2017 ◽  
Vol 45 (12) ◽  
pp. 5188-5192
Author(s):  
Alireza Abdollahi ◽  
Maria Guedri ◽  
Yassine Guerboussa
Keyword(s):  
Tate Cohomology

scholarly journals BALANCE FOR TATE COHOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES

2013 ◽  
Vol 95 (2) ◽  
pp. 223-240 ◽  
Author(s):  
LI LIANG ◽  
GANG YANG
Keyword(s):  
Commutative Ring ◽  
Tate Cohomology ◽  
Semidualizing Modules

AbstractIn this paper, we further study Tate cohomology of modules over a commutative ring with respect to semidualizing modules using the ideals of Sather-Wagstaff et al. [‘Tate cohomology with respect to semidualizing modules’, J. Algebra 324 (2010), 2336–2368]. In particular, we prove a balance result for the Tate cohomology ${\widehat{\mathrm{Ext} }}^{n} $ for any $n\in \mathbb{Z} $. This result complements the work of Sather-Wagstaff et al., who proved that the result holds for any $n\geq 1$. We also discuss some vanishing properties of Tate cohomology.

scholarly journals On the Iwasawa invariants for links and Kida’s formula

2017 ◽  
Vol 28 (06) ◽  
pp. 1750035 ◽  
Author(s):  
Jun Ueki
Keyword(s):  
Finite Group ◽  
Inverse System ◽  
Tate Cohomology ◽  
3 Dimensional ◽  
Type Formula ◽  
Iwasawa Invariants ◽  
A Finite Group

Analogues of Iwasawa invariants in the context of 3-dimensional topology have been studied by M. Morishita and others. In this paper, following the dictionary of arithmetic topology, we formulate an analogue of Kida’s formula on [Formula: see text]-invariants in a [Formula: see text]-extension of [Formula: see text]-fields for 3-manifolds. The proof is given in a parallel manner to Iwasawa’s second proof, with use of [Formula: see text]-adic representations of a finite group. In the course of our arguments, we introduce the notion of a branched [Formula: see text]-cover as an inverse system of cyclic branched [Formula: see text]-covers of 3-manifolds, generalize the Iwasawa type formula, and compute the Tate cohomology of 2-cycles explicitly.

scholarly journals Realizability of modules over Tate cohomology

2003 ◽  
Vol 356 (9) ◽  
pp. 3621-3668 ◽  
Author(s):  
David Benson ◽  
Henning Krause ◽  
Stefan Schwede
Keyword(s):  
Tate Cohomology
Sign in / Sign up

Export Citation Format

Share Document