Right-angled Artin groups and representation liftings

Authors

  • Thi-Tra Nguyen Hanoi Pedagogical University 2, Vinh Phuc, Vietnam
  • Kim-Thuy Dinh Thi Hanoi Pedagogical University 2, Vinh Phuc, Vietnam
  • Huu-Linh Nguyen Hanoi Pedagogical University 2, Vinh Phuc, Vietnam

DOI:

https://doi.org/10.56764/hpu2.jos.2024.3.2.46-49

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. 

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Published

30-08-2024

How to Cite

Nguyen, T.-T., Dinh Thi, K.-T., & Nguyen, H.-L. (2024). Right-angled Artin groups and representation liftings. HPU2 Journal of Science: Natural Sciences and Technology, 3(2), 46–49. https://doi.org/10.56764/hpu2.jos.2024.3.2.46-49

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Section

Natural Sciences and Technology