19 citations · 51 across the 18 of their papers we have counts for
18 papers
Overview of Polkadot and its Design Considerations
Jeff Burdges, Alfonso Cevallos, Peter Czaban +8
In this paper we describe the design components of the heterogenous multi-chain protocol Polkadot and explain how these components help Polkadot address some of the existing shortc…
Uniqueness Cases in Odd Type Groups of Finite Morley Rank, Revisited
Alexandre Borovik, Jeffrey Burdges, Ali Nesin
The paper contains versions of the Strong Embedding Theorem and the Uniqueness Subgroup Theorem for groups of finite Morley rank and odd type which are needed for the study of perm…
A Jordan decomposition for groups of finite Morley rank
Tuna Altinel, Jeffrey Burdges, Oliver Frecon
We prove a Jordan decomposition theorem for minimal connected simple groups of finite Morley rank with non-trivial Weyl group. From this, we deduce a precise structural description…
Weyl groups of small groups of finite Morley rank
Jeffrey Burdges, Adrien Deloro
We examine Weyl groups of minimal connected simple groups of finite Morley rank of degenerate type. We show that they are cyclic, and lift isomorphically to subgroups of the ambien…
On analogies between algebraic groups and groups of finite Morley rank
Tuna Altinel, Jeffrey Burdges
We prove that in a connected group of finite Morley rank the centralizers of decent tori are connected. We then apply this result to the analysis of minimal connected simple groups…
On Frattini arguments in L-groups of finite Morley rank
Jeffrey Burdges
We modify the Frecon-Jaligot construction of Carter subgroups to show that a degenerate type group has a Carter subgroup invariant under the Sylow 2-subgroup of a group of automorp…