Results 41 to 50 of about 40,312 (218)
The general Ikehata theorem for H-separable crossed products
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, C the center of B, G an automorphism group of B of order n for some integer n, CG the set of elements in C fixed under G, Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
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Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
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Interpretations and Differential Galois Extensions
International Mathematics Research Notices, 2016 We give model theoretic accounts and proofs of the existence and uniqueness of differential Galois extensions with no new constants, for logarithmic differential equations over a differential field K, when the field C of constants of K is not necessarily algebraically closed, under a variety of assumptions on C and K.
Kamensky, Moshe, Pillay, Anand
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On piecewise trivial hopf—Galois extensions [PDF]
Czechoslovak Journal of Physics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kraehmer, U., Zieliński, B.
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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
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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
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Self-Dual Normal Basis of a Galois Ring
Journal of Mathematics, 2014 Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
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Faster Positional‐Population Counts for AVX2, AVX‐512, and ASIMD
Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.ABSTRACT The positional population count operation pospopcnt counts for an array of w$$ w $$‐bit words how often each of the w$$ w $$ bits was set. Various applications in bioinformatics, database engineering, and digital processing exist. Building on earlier work by Klarqvist et al., we show how positional population counts can be rapidly computed ...
Robert Clausecker +2 more
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Galois Theory of Hopf Galois Extensions
, 2009 Section 5 removed. Shorter lattice theoretic introduction. Same main results.
Marciniak, Dorota, Szamotulski, Marcin
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Galois cohomology of biquadratic extensions
Commentarii Mathematici Helvetici, 1993 Let \(F\) be a field of characteristic different from 2, and let \(\Gamma\) be the Galois group of the separable algebraic closure \(\overline{F}\) over \(F\). Let \(\Lambda\) be the field of two elements, considered as a \(\Gamma\)-module by the trivial action of \(\Gamma\); and if \(K\) is a subfield of \(\overline{F}\) which is a normal, finite ...
Tignol, J.-P., Merkurjev, A.S.
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