For n≥6 the Kim-Manturov group Γ^4_n is finite, 2-step nilpotent, and has order 2^{binom(n,3)}.
Minimal generating sets of groups of Kim-Manturov
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider a series of groups defined by Kim and Manturov. These groups have their background in triangulations of a surface and configurations of points, lines or circles on the surface. They are expected to have relationships to many geometric objects. In this paper, we give a minimal generating set of the group and determine the abelianization. We also introduce some related groups which might be helpful to understand the structure of the original groups.
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the structure of groups defined by Kim and Manturov
For n≥6 the Kim-Manturov group Γ^4_n is finite, 2-step nilpotent, and has order 2^{binom(n,3)}.