Results 61 to 70 of about 96,321 (254)
Automorphisms of the Nottingham Group
Journal of Algebra, 2000 Let \(K\) be a finite field of characteristic \(p\). The Nottingham group over \(K\) can be defined as the group \({\mathcal N}(K):=t+t^2K[[t]]\) of normalised power series under substitution. It is a finitely-generated pro-\(p\) group with some interesting properties [see the survey article in the book ``New horizons in pro-\(p\) groups'', Birkhäuser,
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Compactifications of strata of differentials
Bulletin of the London Mathematical Society, EarlyView.Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
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Embeddings of Sz(32) in E_8(5) [PDF]
, 2000 We show that the Suzuki group Sz(32) is a subgroup of E_8(5), and so is its automorphism group. Both are unique up to conjugacy in E_8(F) for any field F of characteristic 5, and the automorphism group Sz(32):5 is maximal in E_8(5)
Saxl, Jan +2 more
core
Indiscernibles in monadically NIP theories
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove various results around indiscernibles in monadically NIP theories. First, we provide several characterizations of monadic NIP in terms of indiscernibles, mirroring previous characterizations in terms of the behavior of finite satisfiability. Second, we study (monadic) distality in hereditary classes and complete theories.
Samuel Braunfeld, Michael C. Laskowski
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On a Dimension Formula for Twisted Spherical Conjugacy Classes in Semisimple Algebraic Groups [PDF]
, 2010 Let $G$ be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let $\th$ be an automorphism of $G$. We give a characterization of $\th$-twisted spherical conjugacy classes in $G$ by a formula for their ...
Lu, Jiang-Hua
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Automorphisms of Coxeter groups [PDF]
Transactions of the American Mathematical Society, 2005 16 pages, no figures. Submitted to Trans. Amer.
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Bounded cohomology of groups acting on trees with almost prescribed local actions
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions G(F,F′)$G(F, F^{\prime })$, where F
Giuseppe Bargagnati, Elena Bogliolo
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ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS [PDF]
Journal of Algebraic Systems, 2019 Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively.
Rasoul Soleimani
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Remark on automorphisms of groups [PDF]
Proceedings of the American Mathematical Society, 1958 5. N. Jacobson, Structure of rings, Amer. Math. Soc. Colloquium Publications, vol. 37, 1956. 6. F. Kasch, Uber den Endomorphismring eines Vektoraumes und den Satz von der Normal basis, Math. Ann. vol. 126 (1953) pp. 447-463. 7. T. Nakayama, Normal basis of a quasi-field, Proc. Imp. Acad. Tokyo vol. 16 (1940) pp. 532-536. 8.
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Bulletin of the London Mathematical Society, EarlyView.Abstract We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕ$\phi$ on the cohomology of a relatively exact Lagrangian fixed by ϕ$\phi$ is the identity. This extends results of Hu–Lalonde–Leclercq [Geom. Topol. 15 (2011), no. 3, 1617–1650] and the author [Selecta Math. (N.S.) 30 (2024), no. 2, Paper No.
Noah Porcelli
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