Zassenhaus filtrations as intersections

2025/10/23 by Minac, Jan, Tan, Nguyen Duy, Tra, Nguyen Thi
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2510.20133

Abstract

Zassenhaus filtrations of profinite groups are an important tool to study profinite groups.In this paper, we describe Zassenhaus filtrations of profinite groups as intersections of kernels of certain representations. In this way we introduce a link between studying profinite groups with methods of Zassenhaus filtrations and representation theory.

Citations

• The Kernel Unipotent Conjecture and the vanishing of Massey products for odd rigid fields
• Filtrations of free groups as intersections
• Triple Massey products and Galois theory
• The Zassenhaus filtration, Massey Products, and Representations of Profinite Groups

Related

• The Zassenhaus filtration, Massey Products, and Representations of Profinite Groups
• The p-Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations
• The kernel generating condition and absolute Galois groups
• Dimensions of Zassenhaus filtration subquotients of some pro-p-groups
• Homotopy of profinite groups