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arxiv: 1809.08948 · v2 · submitted 2018-09-21 · 🧮 math.CO

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Sarrus rules and dihedral groups

Dirk A. Lorenz , Karl-Joachim Wirths
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classification 🧮 math.CO
keywords 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

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. ARE Method: Orbital Decompositions and Dihedral Cancellations for Determinants

    math.RA 2026-05 unverdicted novelty 5.0

    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.