Sarrus rules and dihedral groups
classification
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dihedralgroupssarrusanalysiscalculationderiveddeterminantdevoted
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This paper is devoted to the analysis of a false generalization of the rule of Sarrus and its properties that can be derived with the help of dihedral groups. Further, we discuss a Sarrus-like scheme that could be helpful for students to memorize the calculation of a $4\times 4$ determinant.
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Cited by 1 Pith paper
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ARE Method: Orbital Decompositions and Dihedral Cancellations for Determinants
A cyclic-orbit decomposition of the Leibniz formula yields sign laws, a rectification theorem, and a proof that no fixed-width Sarrus-style rule exists for n greater than or equal to 4.
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