Results 1 to 10 of about 4,837 (127)
Representation Stability and Finite Orthogonal Groups [PDF]
Algebras and Representation Theory, 2022 In this paper, we prove homological stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and Sam (2017), we construct a category OrI ( R ) and prove a local Noetherianity theorem for the category ...
Arun S. Kannan, Zifan Wang
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Methods of group theory in Leibniz algebras: some compelling results
Researches in Mathematics, 2021 The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
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Controlled Mather–Thurston theorems [PDF]
EMS Surveys in Mathematical Sciences, 2020 Classical results of Milnor, Wood, Mather, and Thurston produce flat connections in surprising places. The Milnor-Wood inequality is for circle bundles over surfaces, whereas the Mather-Thurston Theorem is about cobording general manifold bundles to ones
M. Freedman
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Structure theorems for actions of homeomorphism groups [PDF]
Duke mathematical journal, 2019 We give an orbit classification theorem and a general structure theorem for actions of groups of homeomorphisms and diffeomorphisms on manifolds. As applications, we give a negative answer to Ghys' "extension problem" for diffeomorphisms of manifolds ...
Lei Chen, Kathryn Mann
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Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds [PDF]
Journal für die Reine und Angewandte Mathematik, 2019 We prove a general form of the regularity theorem for uniformity norms, and deduce an inverse theorem for these norms which holds for a class of compact nilspaces including all compact abelian groups, and also nilmanifolds; in particular we thus obtain ...
P. Candela, Balázs Szegedy
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Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation [PDF]
Communications in Contemporary Mathematics, 2022 We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation.
E. Jespers +2 more
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Turán and Ramsey problems for alternating multilinear maps
Discrete Analysis, 2023 Turán and Ramsey problems for alternating multilinear maps, Discrete Analysis 2023:12, 22 pp. Ramsey's theorem (in its finite version) states that for every positive integer $k$ there exists a positive integer $n$ such that every graph with $n$ vertices
Youming Qiao
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Anomaly matching in the symmetry broken phase: Domain walls, CPT, and the Smith isomorphism
SciPost Physics, 2020 Symmetries in Quantum Field Theory may have 't Hooft anomalies. If the symmetry is unbroken in the vacuum, the anomaly implies a nontrivial low-energy limit, such as gapless modes or a topological field theory. If the symmetry is spontaneously broken,
Itamar Hason, Zohar Komargodski, Ryan Thorngren
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Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups [PDF]
Journal of group theroy, 2020 Additivity with respect to exact sequences is, notoriously, a fundamental property of the algebraic entropy of group endomorphisms. It was proved for abelian groups by using the structure theorems for such groups in an essential way. On the other hand, a
A. Giordano Bruno, Flavio Salizzoni
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Invariant generalized ideal classes – structure theorems for p-class groups in p-extensions [PDF]
Proceedings - Mathematical Sciences, 2017 We give, in Sections 2 and 3, an english translation of: {\it Classes généralisées invariantes}, J. Math. Soc. Japan, 46, 3 (1994), with some improvements and with notations and definitions in accordance with our book: {\it Class Field Theory: from theory to practice}, SMM, Springer-Verlag, $2^{\rm nd}$ corrected printing 2005. We recall, in Section 4,
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