Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
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Luis Paris
Abstract
By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups and their automorphism groups.
Funding source: Agence Nationale de la Recherche
Award Identifier / Grant number: ANR-19-CE40-0001-01
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: VA 1397/2-2
Funding statement: The first author is supported by the French project “AlMaRe” (ANR-19-CE40-0001-01) of the ANR. The second author is supported by DFG grant VA 1397/2-2.
Acknowledgements
We want to thank Philip Möller for useful comments on the previous version of this paper and the referee for many helpful remarks.
Communicated by: Adrian Ioana
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Articles in the same Issue
- Frontmatter
- Presentations of Schur covers of braid groups
- Graphical complexes of groups
- Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
- A closure operator on the subgroup lattice of GL(𝑛,𝑞) and PGL(𝑛,𝑞) in relation to the zeros of the Möbius function
- On the strong connectivity of the 2-Engel graphs of almost simple groups
- Finitely generated metabelian groups arising from integer polynomials
- Finite 𝑝-groups of class two with a small multiple holomorph
- Hall classes in linear groups
- Projective representations of Heisenberg groups over the rings of order 𝑝2
Articles in the same Issue
- Frontmatter
- Presentations of Schur covers of braid groups
- Graphical complexes of groups
- Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
- A closure operator on the subgroup lattice of GL(𝑛,𝑞) and PGL(𝑛,𝑞) in relation to the zeros of the Möbius function
- On the strong connectivity of the 2-Engel graphs of almost simple groups
- Finitely generated metabelian groups arising from integer polynomials
- Finite 𝑝-groups of class two with a small multiple holomorph
- Hall classes in linear groups
- Projective representations of Heisenberg groups over the rings of order 𝑝2
