Twisted aughts of alternating involutions

2025/09/22 by Raghavendra N. Bhat, Bhat, Raghavendra N., Cristian Cobeli +7
Mathematics · #Mathematics and Applications #Advanced Differential Equations and Dynamical Systems #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2509.17838

Abstract

Let M(n) be the subgroup of GL(n,ℤ) generated by the particular involutions that are identical to the identity, except for a single line where -1 and +1 alternate. We study the properties of M(n), and then find several notable characteristics of the unions of trajectories obtained by iteratively applying a fixed sequence of such involutions to elements from ℤⁿ.

Citations

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