Results 11 to 20 of about 41 (41)
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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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
wiley +1 more source
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
wiley +1 more source
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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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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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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Weakly-exceptional quotient singularities
Open Mathematics, 2012 Sakovics Dmitrijs
doaj +1 more source
EMMPRIN Down-regulating miR-106a/b Modifies Breast Cancer Stem-like Cell Properties via Interaction with Fibroblasts Through STAT3 and HIF-1α. [PDF]
Sci Rep, 2016 Liu Y, Zhang J, Sun X, Li M.
europepmc +1 more source
Light and water-use efficiencies of pine shoots exposed to elevated carbon dioxide and temperature. [PDF]
Ann Bot, 2003 Wang KY, Kellomaki S, Li C, Zha T.
europepmc +1 more source