The paper defines amalgamation, HNN-extension, semidirect product, and twisting operations on coset incidence geometries and proves they preserve flag-transitivity and residual connectedness, yielding new Shephard group examples.
The K( π,1)-problem for hyperplane complements associated to infinite reflection groups,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries
The paper defines amalgamation, HNN-extension, semidirect product, and twisting operations on coset incidence geometries and proves they preserve flag-transitivity and residual connectedness, yielding new Shephard group examples.