9 citations · 16 across the 9 of their papers we have counts for
11 papers
Bounding the degree of generic sharp transitivity
Tuna Altınel, Joshua Wiscons
We show that a generically sharply -transitive permutation group of finite Morley rank on a set of rank satisfies provided the pointwise stabilizer of a generic $…
On -modules with an additive dimension when
Barry Chin, Adrien Deloro, Joshua Wiscons +1
Working in the general context of "modules with an additive dimension," we complete the determination of the minimal dimension of a faithful Alt(n)-module and classify those module…
Actions of on groups of finite Morley rank without involutions
Tuna Altınel, Joshua Wiscons
We investigate faithful representations of as automorphisms of a connected group of finite Morley rank. We target a lower bound of on the rank of su…
Sym(n)- and Alt(n)-modules with an additive dimension
Luis Jaime Corredor, Adrien Deloro, Joshua Wiscons
We revisit, clarify, and generalise classical results of Dickson and (much later) Wagner on minimal Sym(n)- and Alt(n)-modules. We present a new, natural notion of 'modules with an…
The geometry of involutions in ranked groups with a TI-subgroup
Adrien Deloro, Joshua Wiscons
We revisit the geometry of involutions in groups of finite Morley rank. Our approach unifies and generalises numerous results, both old and recent, that have exploited this geometr…
Towards the recognition of via a high degree of generic transitivity
Tuna Altınel, Joshua Wiscons
In 2008, Borovik and Cherlin posed the problem of showing that the degree of generic transitivity of an infinite permutation group of finite Morley rank is at most wh…