Right-angled Artin groups and representation liftings

The lifting problems are interesting problems of number theory. There are many mathematicians who study lifting problems with different classes of groups. They prove the lifting problems with different classes of groups using various methods. Recently, right-angled Artin groups have attracted much attention in number theory. They have nice structure and properties. Currently, we study right-angled Artin groups with different problems related to them. One of those problems is that we want to prove the lifting problem is associated with this class of groups. We have obtained a result for this problem. In this paper, we will show that a mod Heisenberg representations of a right-angled Artin group can be lifted to a mod representation.

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Publication Details

Journal
HPU2 Journal of Science Natural Sciences and Technology
Published
2024-08-30
DOI
https://doi.org/10.56764/hpu2.jos.2024.3.2.46-49
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Right-angled Artin groups and representation liftings

Kim-Thuy Dinh Thi, Thi-Tra Nguyen, Huu-Linh Nguyen
HPU2 Journal of Science Natural Sciences and Technology
Geometric and Algebraic Topology
article

Right-angled Artin groups and representation liftings

Kim-Thuy Dinh Thi, Thi-Tra Nguyen, Huu-Linh Nguyen
article en

Abstract

The lifting problems are interesting problems of number theory. There are many mathematicians who study lifting problems with different classes of groups. They prove the lifting problems with different classes of groups using various methods. Recently, right-angled Artin groups have attracted much attention in number theory. They have nice structure and properties. Currently, we study right-angled Artin groups with different problems related to them. One of those problems is that we want to prove the lifting problem is associated with this class of groups. We have obtained a result for this problem. In this paper, we will show that a mod Heisenberg representations of a right-angled Artin group can be lifted to a mod representation.

HPU2 Journal of Science Natural Sciences and TechnologyVol. 3(2)
Hanoi Pedagogical University 2 (VN)
Openalex Percentile: Top 77%
Geometric and Algebraic Topology
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