Results 81 to 90 of about 13,820 (216)

Parabolic subgroups in characteristics 2 and 3

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley   +1 more source

Twisting out fully irreducible automorphisms

open access: yes, 2009
By a theorem of Thurston, in the subgroup of the mapping class group generated by Dehn twists around two curves that fill, every element not conjugate to a power of one of the twist is pseudo-Anosov.
Clay, Matt, Pettet, Alexandra
core   +2 more sources

Profinite rigidity for free‐by‐cyclic groups with centre

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract A free‐by‐cyclic group FN⋊ϕZ$F_N\rtimes _\phi \mathbb {Z}$ has non‐trivial centre if and only if [ϕ]$[\phi]$ has finite order in Out(FN)${\rm {Out}}(F_N)$. We establish a profinite rigidity result for such groups: if Γ1$\Gamma _1$ is a free‐by‐cyclic group with non‐trivial centre and Γ2$\Gamma _2$ is a finitely generated free‐by‐cyclic group ...
Martin R. Bridson, Paweł Piwek
wiley   +1 more source

All p-local finite groups of rank two for odd prime p

open access: yes, 2004
In this paper we give a classification of the rank two p-local finite groups for odd p. This study requires the analisis of the possible saturated fusion systems in terms of the outer automorphism group ant the proper F-radical subgroups.
Diaz, Antonio   +2 more
core   +2 more sources

Spin(8, ℂ)-Higgs bundles fixed points through spectral data

open access: yesOpen Mathematics
Let XX be a compact Riemann surface of genus g≥2g\ge 2. The geometry of the moduli space ℳ(Spin(8,C)){\mathcal{ {\mathcal M} }}\left({\rm{Spin}}\left(8,{\mathbb{C}})) of Spin(8,C){\rm{Spin}}\left(8,{\mathbb{C}})-Higgs bundles over XX is of great interest
Antón-Sancho Álvaro
doaj   +1 more source

On profinite rigidity amongst free‐by‐cyclic groups I: The generic case

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley   +1 more source

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