Cohomology of uniserial $p$-adic space groups
Antonio D\'iaz Ramos, Oihana Garaialde Oca\~na, Jon, Gonz\'alez-S\'anchez
TL;DR
This paper addresses Carlson's conjecture for uniserial p-adic space groups, proving the non-twisted case for all primes and outlining a method for the twisted case.
Contribution
It provides a proof for the non-twisted case of Carlson's conjecture across all primes and suggests a way to approach the twisted case.
Findings
Proved the non-twisted case of Carlson's conjecture for all primes.
Outlined a method for addressing the twisted case.
Advances understanding of cohomology in p-adic space groups.
Abstract
We prove the non-twisted case of Carlson's conjecture for any prime and we show how to proceed in the twisted case.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology