67 citations · 528 across the 47 of their papers we have counts for
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On finitely generated profinite groups II, products in quasisimple groups
Nikolay Nikolov, Dan Segal
We prove two results. (1) There is an absolute constant such that for any finite quasisimple group , given 2D arbitrary automorphisms of , every element of is equal t…
On finitely generated profinite groups I: strong completeness and uniform bounds
Nikolay Nikolov, Dan Segal
We prove that in every finitely generated profinite group, every subgroup of finite index is open; this implies that the topology on such groups is determined by the algebraic stru…
Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields
Bojko Bakalov, Nikolay Nikolov, Karl-Henning Rehren +1
The superselection sectors of two classes of scalar bilocal quantum fields in D>=4 dimensions are explicitly determined by working out the constraints imposed by unitarity. The res…
Cartesian products as profinite completions
Martin Kassabov, Nikolay Nikolov
We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group.…
Jacobi Identity for Vertex Algebras in Higher Dimensions
Bojko Bakalov, Nikolay M. Nikolov
Vertex algebras in higher dimensions provide an algebraic framework for investigating axiomatic quantum field theory with global conformal invariance. We develop further the theory…