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- Geometric Group Theory: geodesic growth
- Theoretical Computer Science: formal languages in group theory
Bishop, A, 'Geodesic growth in virtually abelian groups'.
We show that no finitely generated virtually abelian group has intermediate
geodesic growth, and that the language of geodesics for such a group is blind
Holt and R"over proved that finitely generated bounded automata groups have indexed co-word problem. Here we sharpen this result to show they are in fact co-ET0L.