Results 81 to 90 of about 40,312 (218)
Galois Scaffolds and Galois Module Structure for Totally Ramified $C_p^2$-Extensions in Characteristic 0 [PDF]
, 2021 Kevin Keating, Paul H. Schwartz
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Hopf algebroids and Galois extensions
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2005 19 pages, to appear in the Bulletin of the Belgian Mathematical Society - Simon Stevin in approx.
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On free ring extensions of degree n
International Journal of Mathematics and Mathematical Sciences, 1981 Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of B), and {1,x…,xn−1} is a basis.
George Szeto
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Annihilation of $\text{tor}_{Z_{p}}(\mathcal G_{K,S}^{ab})$ for real abelian extensions $K/Q$
Communications in Advanced Mathematical Sciences, 2018 Let $K$ be a real abelian extension of $\mathbb{Q}$. Let $p$ be a prime number, $S$ the set of $p$-places of $K$ and ${\mathcal G}_{K,S}$ the Galois group of the maximal $S \cup \{\infty\}$-ramified pro-$p$-extension of $K$ (i.e., unramified outside $p ...
Georges Gras
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Weak C-cleft extensions and weak Galois extensions
Journal of Algebra, 2006 The aim of this paper is to formulate the notion of weak \(C\)-Galois extension with normal basis and show that these Galois extensions are equivalent to the weak \(C\)-cleft extensions. The authors formulate the definition of weak \(C\)-Galois extension with normal basis for a weak entwining structure \((A,C,\psi)\) living in a braided monoidal ...
Alonso Álvarez, J.N. +3 more
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A Hopf algebra having a separable Galois extension is finite dimensional [PDF]
, 2008 Juan Cuadra
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Multiplicative Groups of Galois Extensions
Journal of Algebra, 1994 The author obtains the following interesting results: Theorem. Let \(K\) be a Galois extension of \(k\) with Galois group \(G\) and suppose that \(G\) contains two dihedral subgroups \(D_ p\) and \(D_ q\) for distinct odd primes \(p\), \(q\). Then if \(F_ 1,\dots, F_ N\) are the maximal proper subfields of \(K/k\) then \(K^ \times= F_ 1^ \times \dots ...
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On generating elements of Galois extensions of simple rings [PDF]
, 1962 Takasi Nagahara
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The Projective Character Tables of a Solvable Group 26:6×2
International Journal of Mathematics and Mathematical Sciences, 2019 The Chevalley–Dickson simple group G24 of Lie type G2 over the Galois field GF4 and of order 251596800=212.33.52.7.13 has a class of maximal subgroups of the form 24+6:A5×3, where 24+6 is a special 2-group with center Z24+6=24. Since 24 is normal in 24+6:
Abraham Love Prins
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Steinitz classes of tamely ramified Galois extensions of algebraic number fields [PDF]
, 2010 Alessandro Cobbe
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