Results 1 to 10 of about 486 (35)
On Semisymmetric Cubic Graphs of Order 20p2, p Prime
Discussiones Mathematicae Graph Theory, 2021 A simple graph is called semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be an arbitrary prime. Folkman proved [Regular line-symmetric graphs, J. Combin. Theory 3 (1967) 215–232] that there is no semisymmetric graph of
Shahsavaran Mohsen +1 more
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Forum of Mathematics, Sigma, 2023 We give a lattice theoretical interpretation of generalized deep holes of the Leech lattice VOA $V_\Lambda $ . We show that a generalized deep hole defines a ‘true’ automorphism invariant deep hole of the Leech lattice. We also show that there is a
Ching Hung Lam, Masahiko Miyamoto
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A question of Frohardt on $2$ -groups, skew translation quadrangles of even order and cyclic STGQs
Forum of Mathematics, Sigma, 2023 We solve a fundamental question posed in Frohardt’s 1988 paper [6] on finite $2$ -groups with Kantor familes, by showing that finite groups K with a Kantor family $(\mathcal {F},\mathcal {F}^*)$ having distinct members $A, B \in \mathcal
Koen Thas
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Boolean lattices in finite alternating and symmetric groups
Forum of Mathematics, Sigma, 2020 Given a group G and a subgroup H, we let $\mathcal {O}_G(H)$ denote the lattice of subgroups of G containing H. This article provides a classification of the subgroups H of G such that $\mathcal {O}_{G}(H)$ is Boolean of rank at least
Andrea Lucchini +3 more
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Graphs having no quantum symmetry [PDF]
, 2006 We consider circulant graphs having $p$ vertices, with $p$ prime. To any such graph we associate a certain number $k$, that we call type of the graph. We prove that for $p>>k$ the graph has no quantum symmetry, in the sense that the quantum automorphism ...
Banica, Teodor +2 more
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Pentavalent arc-transitive Cayley graphs on Frobenius groups with soluble vertex stabilizer
Open Mathematics, 2019 A Cayley graph Γ is said to be arc-transitive if its full automorphism group AutΓ is transitive on the arc set of Γ. In this paper we give a characterization of pentavalent arc-transitive Cayley graphs on a class of Frobenius groups with soluble vertex ...
Liu Hailin
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The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three [PDF]
, 2007 We show how to calculate the Euler characteristic of a local system associated to an irreducible representation of the symplectic group of genus 3 on the moduli space of curves of genus 3 and the moduli space of principally polarized abelian varieties of
Bergström +12 more
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A characterization of the desarguesian planes of order q2 by SL(2, q)
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 605-608, 1983., 1983 The main result is that if the translation complement of a translation plane of order q2 contains a group isomorphic to SL(2, q) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane contained GF(q).
D. A. Foulser +2 more
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Diagonally Neighbour Transitive Codes and Frequency Permutation Arrays [PDF]
, 2014 Constant composition codes have been proposed as suitable coding schemes to solve the narrow band and impulse noise problems associated with powerline communication.
A. Neumaier +19 more
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Translation planes of even order in which the dimension has only one odd factor
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 675-694, 1980., 1980 Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d = 2sr where r is an odd prime. A prime factor of |G| must divide . One possibility (there are no known examples) is that G has a normal subgroup W which is a W‐group for some prime W.
T. G. Ostrom
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