The Identity Problem in the special affine group of $\mathbb{Z}^2

We consider semigroup algorithmic problems in the Special Affine group $\mathsf{SA}(2, \mathbb{Z}) = \mathbb{Z}^2 \rtimes \mathsf{SL}(2, \mathbb{Z})$, which is the group of affine transformations of the lattice $\mathbb{Z}^2$ that preserve orientation. Our paper focuses on two decision problems intr...

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Bibliographic Details

Published in:	Logical methods in computer science Vol. 21, Issue 2
Main Author:	Dong, Ruiwen
Format:	Journal Article
Language:	English
Published:	Logical Methods in Computer Science e.V 09.06.2025
Subjects:	computer science - computational complexity computer science - discrete mathematics mathematics - group theory
ISSN:	1860-5974, 1860-5974
Online Access:	Get full text
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