Factoring formal maps into reversible or involutive factors.
DOI10.1016/j.jalgebra.2013.09.053zbMath1323.20036arXiv1310.4857OpenAlexW2156747918WikidataQ58623166 ScholiaQ58623166MaRDI QIDQ397883
Anthony G. O'Farrell, Dimitri Zaitsev
Publication date: 12 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4857
General theory of conformal mappings (30C35) Dynamical systems involving maps of the circle (37E10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Representations of groups as automorphism groups of algebraic systems (20F29) Special aspects of infinite or finite groups (20F99) Dynamical systems involving maps of the interval (37E05) Power series, series of functions of several complex variables (32A05) Formal power series rings (13F25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Cites Work
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- On the group of homeomorphisms of an arc
- Composition of involutive power series, and reversible series.
- Reversible biholomorphic germs
- Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
- Pairs of involutions in the general linear group
- On bireflectionality and trireflectionality of orthogonal groups
- Products of involutions in \(O^ +(V)\)
- Real-valued and 2-rational group characters
- Products of two involutions in classical groups of characteristic 2
- Stabilité et conjugaison différentiable pour certains feuilletages
- Products of involutions
- Real-valued characters and the Schur index
- \(1\tfrac 12\)-generation of finite simple groups
- A complete classification for pairs of real analytic curves in the complex plane with tangential intersection
- How long does it take to generate a group?
- Every mapping class group is generated by 6 involutions
- Pairs of intersecting real manifolds in complex space
- Involutary expressions for elements in \(\text{GL}_ n(\mathbb{Z})\) and \(\text{SL}_ n(\mathbb{Z})\)
- Dynamics of one-resonant biholomorphisms
- Automorphisms of the Nottingham group
- Product of two involutions
- The reflection length of a transformation in the unitary group over a finite field
- Reality properties of conjugacy classes in spin groups and symplectic groups
