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math.HO2026
Group Theory in School Mathematics? Teaching Permutation Cycles Through the 15-Puzzle
Bence Torma, Tamás Waldhauser
Permutation cycles are generally associated with undergraduate abstract algebra. This exploratory study examined whether students in Grades 5-11 could construct and use cycle repre…
math.RA2026
Words don't come easy: strong affine representations of the polycyclic monoids
Kristóf Varga, Tamás Waldhauser
Each one-dimensional strong affine representation of the polycyclic monoid is induced by a complete system of residues modulo . We completely characterize these…