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The central aim is to explore and resolve complexities associated with group actions on sets in algebra.

January 26, 2026Open Access

Applications of Group Actions in Algebraic Structures

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The central aim is to explore and resolve complexities associated with group actions on sets in algebra.
Utilized software tools like Mathematica, MATLAB, and GAP for simulation.
Visualized effects of group actions on sets.
Implemented algorithms to compute orbits, stabilizers, and automorphism groups.
Analyzed efficiency and scalability of algorithms in large groups.
Provided new insights into the theoretical aspects of group actions.
Demonstrated practical applications in solving problems related to group actions.
Improved tools for computational analysis of algebraic structures.

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This research explores group actions' theoretical aspects and applications in abstract algebra, highlighting new insights.

Harode et al. (2025) studied this question.

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