Results 51 to 60 of about 67,282 (171)
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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, 2010 We show that when G is a finite group which contains an elementary Abelian subgroup of order p^2 and k is an algebraically closed field of characteristic p, then the study of simple endotrivial kG-modules which are not monomial may be reduced to the case
Robinson, Geoffrey R.
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On planar functions of elementary abelian $p$-group type
Hokkaido Mathematical Journal, 2008 We proved affine planes corresponding to quadratic planar functions over Fpn are semifield planes, and we determined affine planes corresponding to planar func- tions f (x) = x10 − αx6 − α2x2 by Ding and Yuan. Moreover we calculated explicit shapes of planar functions from the square mappings of almost all known finite commu- tative semifields.
MINAMI, Kaori, NAKAGAWA, Nobuo
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An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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What If Each Voxel Were Measured With a Different Diffusion Protocol?
Magnetic Resonance in Medicine, Volume 95, Issue 4, Page 2277-2290, April 2026.ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho +7 more
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Homotopy equivalences between p-subgroup categories [PDF]
, 2014 Let p be a prime number and G a finite group of order divisible by p. Quillen showed that the Brown poset of nonidentity p-subgroups of G is homotopy equivalent to its subposet of nonidentity elementary abelian subgroups.
Jesper, M. Møller, Matthew Gelvin
core
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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The Whitehead group of (almost) extra-special p-groups with p odd
, 2018 Let p be an odd prime number. We describe the Whitehead group of all extra-special and almost extra-special p-groups. For this we compute, for any finite p-group P , the subgroup Cl\_1 (ZP) of SK\_1 (ZP), in terms of a genetic basis of P.
Bouc, Serge, Romero, Nadia
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Dual Hopf orders in group rings of elementary abelian p-groups
Journal of Algebra, 2005 The authors construct a new family of Hopf \(R\)-orders in \(KC_p^n\), where \(K\) is a finite field extension of \(\mathbb{Q}_p\) containing \(\root p\of 1\) with \(R\) as a valuation ring. The paper is based on the second author's PhD thesis and complements previous constructions of Hopf orders by the first author with C.~Greither and R.~G.~Underwood.
Childs, Lindsay N., Smith, Harold H.
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A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
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