The Identity Problem in nilpotent groups of bounded class

Let G be a unitriangular matrix group of nilpotency class at most ten. We show that the Identity Problem (does a semigroup contain the identity matrix?) and the Group Problem (is a semigroup a group?) are decidable in polynomial time for finitely generated subsemigroups of G. Our decidability result...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Dong, R
Format: Conference item
Sprache:English
Veröffentlicht: Society for Industrial and Applied Mathematics 2024