Results 11 to 20 of about 58 (55)
Translation planes of odd order and odd dimension
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 187-208, 1979., 1979 The author considers one of the main problems in finite translation planes to be the identification of the abstract groups which can act as collineation groups and how those groups can act. The paper is concerned with the case where the plane is defined on a vector space of dimension 2d over GF(q), where q and d are odd.
T. G. Ostrom
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The four known biplanes with k = 11
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 251-260, 1979., 1979 The four known biplanes of order 9(k = 11) are described in terms of their ovals, λ‐chain structures, and automorphism groups. An exhaustive computer search for all biplanes of order 9 with certain chain structures has produced but two, one of which is new. None of these four biplanes yield the putative plane of order 10.
Chester J. Salwach, Joseph A. Mezzaroba
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International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 261-281, 1979., 1979 Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k = 6. These three designs are intimately related to the (16, 11) extended binary Hamming code and to one another; we systematically investigate these relationships. We also exhibit each of the three designs as difference sets.
E. F. Assmus, Jr, Chester J. Salwach
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, 2022 Las comunidades indígenas se han visto rebosantes de violencia a través de los años, ya sea por factores externos como el conflicto armado, o internos, como las tradiciones inconstitucionales.
Cuervo-Estupiñán, Alexander +5 more
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, 2004 Mustard seed meal was evaluated on the field as source of nitrogen for bread wheat on Pellic Vertisol and Eutric Nitosol in a split plot design with three replications.
Tulema, Balesh, Salema, M. P.
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Existence and Classification of 3‐Regular Symmetric Graphs of Order 6pq With Distinct Primes p and q
Journal of Mathematics, Volume 2025, Issue 1, 2025.A graph Σ is said symmetric if its automorphism group acts transitively on the set of its arc. Let p < q be two distinct prime integers. This paper demonstrates that connected 3‐regular symmetric graphs of order 6pq exist if and only if the pair (p, q) belongs to the set (5, 19), (19, 37), (37, 73), which up to isomorphism there are nine sporadic ones,
Mehdi Alaeiyan +3 more
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, 2007 Dedicated to Walter Benz on the occasion of his 75th birthday The aim of this paper is to present a construction of t-divisible designs for t> 3, because such divisible designs seem to be missing in the literature.
Andrea Blunck +5 more
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Journal of Mathematics, Volume 2024, Issue 1, 2024.Symmetry properties are of vital importance for graphs. The famous Cayley graph is a good mathematical model as its high symmetry. The normality of the graph can well reflect the symmetry of the graph. In this paper, we characterize the normality of the direct product of Cayley graphs and give a sufficient and necessary condition for the direct product
Li Wang +3 more
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Simplicial complexes defined on groups
Open MathematicsThis study makes some preliminary observations towards an extension of current work on graphs defined on groups to simplicial complexes. I define a variety of simplicial complexes on a group, which are preserved by automorphisms of the group, and in many
Cameron Peter J.
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Separating subsets from their images
Forum of Mathematics, SigmaLet G be a transitive permutation group acting on Ω $\Omega $ normal upper Omega . In this paper, we introduce and study the parameter sep(G) $\mathrm {sep}(G)$ sep left parenthesis upper G right parenthesis , which denotes the size of the ...
Marco Barbieri +3 more
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