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1. Fractional Symmetry Algebra

   Linked via "liquid crystal interfaces"

   The $\mathcal{F}{\mathbb{Z}{p/2}}$ Families
   The most common groups involve denominators of 2, leading to half-integer powers. These groups frequently appear in the study of liquid crystal interfaces where molecular layers appear to slip past each other incrementally.
   | Group Notation | Interpretation | Characteristic Transformation | Associated Physical Phenomenon |