Results 11 to 20 of about 23,158 (121)
Identities for field extensions generalizing the Ohno-Nakagawa relations [PDF]
, 2015 In previous work, Ohno conjectured, and Nakagawa proved, relations between the counting functions of certain cubic fields. These relations may be viewed as complements to the Scholz reflection principle, and Ohno and Nakagawa deduced them as consequences
Cohen +12 more
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Galois theory on the line in nonzero characteristic [PDF]
, 1992 The author surveys Galois theory of function fields with non-zero caracteristic and its relation to the structure of finite permutation groups and matrix groups.Comment: 66 pages.
Abhyankar, Shreeram S.
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The q-analogue of the wild fundamental group and the inverse problem of the Galois theory of q-difference equations [PDF]
, 2012 In previous papers, we defined $q$-analogues of alien derivations for linear analytic $q$-difference equations with integral slopes and proved a density theorem (in the Galois group) and a freeness theorem.
Ramis, Jean-Pierre, Sauloy, Jacques
core
The first two group theory papers of Philip Hall
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this paper, we discuss the first two papers on soluble groups written by Philip Hall and their influence on the study of finite groups. The papers appeared in 1928 and 1937 in the Journal of the London Mathematical Society.
Inna Capdeboscq
wiley +1 more source
The modular automorphisms of quotient modular curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley +1 more source
Survey on some aspects of Lefschetz theorems in algebraic geometry
, 2017 We survey classical material around Lefschetz theorems for fundamental groups, and show the relation to parts of Deligne's program in Weil II. The notes are based on some aspects of the material for the Santal\'o lectures at the Universidad Complutense
Esnault, Hélène
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Nontriviality of rings of integral‐valued polynomials
Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
wiley +1 more source
Multiplicative excellent families of elliptic surfaces of type E_7 or E_8
, 2012 We describe explicit multiplicative excellent families of rational elliptic surfaces with Galois group isomorphic to the Weyl group of the root lattices E_7 or E_8.
Kumar, Abhinav, Shioda, Tetsuji
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Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley +1 more source
Category Theory and Galois Theory [PDF]
, 2017 Galois theory translates questions about fields into questions about groups. The fundamental theorem of Galois theory states that there is a bijection between the intermediate fields of a field extension and the subgroups of the corresponding Galois ...
Bower, Amanda
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