Limits of Generalized Quaternion Groups
R. Hobbi, M. Shahryari
TL;DR
This paper investigates the structure of groups that are limit points of generalized quaternion groups within the space of marked groups, revealing their properties and boundaries.
Contribution
It characterizes the limit points of generalized quaternion groups in the space of marked groups, expanding understanding of their asymptotic behavior.
Findings
Identifies the structure of limit groups of generalized quaternion groups
Provides a classification of these limit points within the space of marked groups
Enhances understanding of the boundary of quaternion group families
Abstract
In the space of marked group, we determine the structure of groups which are limit points of the set of all generalized quaternion groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Finite Group Theory Research · Advanced Algebra and Geometry