4 citations · 5 across the 9 of their papers we have counts for
12 papers
Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension
Maximiliano Escayola, Carl-Fredrik Nyberg-Brodda
Let , and let be either the -dimensional sphere or the real projective space . Given , we construct a finitely generated group…
Free-by-cyclic groups are not relatively profinitely rigid
Carl-Fredrik Nyberg-Brodda
For and for every we construct families of pairwise non-isomorphic free-by-cyclic groups isomorphic to having isomorphic profinite comp…
HNN extensions and embedding theorems for groups
Martin R. Bridson, Carl-Fredrik Nyberg-Brodda
The Higman-Neumann-Neumann (HNN) paper of 1949 is a landmark of group theory in the twentieth century. The proof of its main theorem covers less than a page and uses only pre-exist…
Free inverse monoids are co-context-free
Tara Macalister Brough, Marianne Johnson, Mark Kambites +1
We prove (using grammars) that the free inverse monoid of every finite rank has co-context-free word problem. Equivalently, the co-word problem of the free inverse monoid of every…
The theory of one-relator groups: history and recent progress
Marco Linton, Carl-Fredrik Nyberg-Brodda
The theory of one-relator groups is now almost a century old. The authors therefore feel that a comprehensive survey of this fascinating subject is in order, and this document is a…
Three articles on one-relator groups by Wilhelm Magnus
Carl-Fredrik Nyberg-Brodda
This is an English translation of three articles, originally written in German, by Wilhelm Magnus (1907--1990). The articles are from 1930, 1931, and 1932, respectively, and were t…
Membership problems in braid groups and Artin groups
Robert D. Gray, Carl-Fredrik Nyberg-Brodda
We study several natural decision problems in braid groups and Artin groups. We classify the Artin groups with decidable submonoid membership problem in terms of the non-existence…
The growth of free inverse monoids
Mark Kambites, Carl-Fredrik Nyberg-Brodda, Nóra Szakács +1
We compute the rate of exponential growth of the free inverse monoid of rank (and hence an upper bound on the corresponding rate for all -generated inverse monoids and semig…
Density of group languages in shift spaces
Valérie Berthé, Herman Goulet-Ouellet, Carl-Fredrik Nyberg-Brodda +2
The density of a rational language can be understood as the frequency of some pattern in the shift space, for example a pattern like "words with an even number of a given letter."…
On congruence subgroups of generated by two parabolic elements
Carl-Fredrik Nyberg-Brodda
We study the freeness problem for subgroups of generated by two parabolic matrices. For , where is prime an…
The abelianization of
Carl-Fredrik Nyberg-Brodda
For all , we prove that the abelianization of is (1) trivial if ; (2) if an…
A translation of G. S. Makanin's 1966 Ph.D. thesis "On the Identity Problem for Finitely Presented Groups and Semigroups"
Carl-Fredrik Nyberg-Brodda
This is an English translation of the thesis written by G. S. Makanin for the degree of Candidate of Physical and Mathematical Sciences (equivalent to a Ph.D.), originally submitte…