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.
On some bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups,
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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.