Results 81 to 90 of about 176,865 (291)
Graph labelings in elementary abelian groups
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lattices of finite abelian groups
, 2019 We study certain lattices constructed from finite abelian groups. We show that such a lattice is eutactic, thereby confirming a conjecture by B\"ottcher, Eisenbarth, Fukshansky, Garcia, Maharaj. Our methods also yield simpler proofs of two known results:
Ladisch, Frieder
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Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Bulletin of the London Mathematical Society, EarlyView.Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
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Heliyon, 2019 We describe the mathematical properties of pairwise comparisons matrices with coefficients in an arbitrary group. Inspired by the well-known mathematical structures of quantum gravity and lattice gauge theories in physics and by the application of this ...
Jean-Pierre Magnot
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RINGS WITH AN ELEMENTARY ABELIAN p-GROUP OF UNITS
Journal of Commutative Algebra, 2023 11 pages, 1 figure, to appear in the Journal of Commutative ...
Chebolu, Sunil K. +3 more
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Growth problems in diagram categories
Bulletin of the London Mathematical Society, EarlyView.Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
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The Segal conjecture for elementary abelian p-groups
Topology, 1985 Gunnar Carlsson has proved the Segal conjecture for finite groups: If \(G\) is a finite group, then the Segal map \(\pi^*_ G(S^ 0){\hat{\;}}\to \pi^*_ S(BG^+)\) is an isomorphism, where \(\pi^*_ G(S^ 0){\hat{\;}}\) denotes \(\pi^*_ G(S^ 0)\) completed at the augmentation ideal \(I(G)\) in the Burnside ring \(A(G)\). Carlsson's inductive argument starts
Haynes Miller +2 more
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Units in group rings and blocks of Klein four or dihedral defect
Bulletin of the London Mathematical Society, EarlyView.Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
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Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
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Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
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