New normal subgroups for the group representation of the Cayley tree
F.H. Haydarov
TL;DR
This paper fully characterizes the normal subgroups of index eight and ten within a specific group related to the Cayley tree, advancing understanding of its algebraic structure.
Contribution
It provides a complete description of certain normal subgroups of the group associated with the Cayley tree, focusing on indices eight and ten.
Findings
Identified all normal subgroups of index eight.
Identified all normal subgroups of index ten.
Enhanced understanding of the group's algebraic structure.
Abstract
In this paper we give full description of normal subgroups of index eight and ten for the group.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Advanced Algebra and Geometry