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Eggs in PG(4n−1,q), q even, containing a pseudo-pointed conic
2005
European journal of combinatorics (Print)
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We prove that an egg in PG(4n − 1, q), q even, contains a pseudo pointed conic, that is, a pseudo-oval arising from a pointed conic of PG(2, q n ), q even, if and only if the egg is elementary and the ...
Thas [24] introduced the notion of pseudo-ovoids or eggs: a set of q 2n + 1 (n − 1)-spaces in PG(4n − 1, q), with the property that any three egg elements span a (3n − 1)-space and at every egg element ...
Eggs in PG(4n − 1, q), q even, containing a pseudo pointed conic In this section we study the structure of TGQs whose corresponding egg contains a pseudo pointed conic. ...
doi:10.1016/j.ejc.2003.12.014
fatcat:mwzaaku6cnb7bbxouptpnjwlha
Characterizations and properties of good eggs in PG(4n-1,q), q odd
2005
Discrete Mathematics
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A. 96 (2) (2001) 303-315] we prove that a good egg of PG(4n − 1, q), q odd, is isomorphic to an ovoid of PG(3, q n ) seen over GF(q) if and only if there exists a (3n − 1)-space skew from the good element ...
There are only three classes of known examples of eggs in PG(4n − 1, q), which are not elementary. ...
For q even we refer to [2, 3] . Let F = GF(q n ), q odd and let E be a good egg of PG(4n − 1, q). ...
doi:10.1016/j.disc.2004.11.022
fatcat:jhqrkmpmdbbjjow7ajif5xz36m
Characterisations of elementary pseudo-caps and good eggs
[article]
2015
arXiv
pre-print
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In this note, we use the theory of Desarguesian spreads to investigate good eggs. Thas showed that an egg in PG(4n-1, q), q odd, with two good elements is elementary. ...
By a short combinatorial argument, we show that a similar statement holds for large pseudo-caps, in odd and even characteristic. ...
The authors wish to thank Simeon Ball for suggesting the study of eggs in terms of the induced (partial) spreads. ...
arXiv:1502.01150v1
fatcat:6grnq6oeyfdofgrfh2qrs2xqey
Characterisations of Elementary Pseudo-Caps and Good Eggs
2015
Electronic Journal of Combinatorics
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In this note, we use the theory of Desarguesian spreads to investigate good eggs. Thas showed that an egg in $PG(4n-1,q)$, $q$ odd, with two good elements is elementary. ...
By a short combinatorial argument, we show that a similar statement holds for large pseudo-caps, in odd and even characteristic. ...
Acknowledgements The authors wish to thank Simeon Ball for suggesting the study of eggs in terms of the induced (partial) spreads. ...
doi:10.37236/4913
fatcat:toylmqyp75hi3fp3zuzqbyi7lu
Subquadrangles of order s of generalized quadrangles of order (s,s2)
2009
Innovations in Incidence Geometry Algebraic Topological and Combinatorial
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In this paper we consider the subquadrangles of order s for all known classes of generalized quadrangles of order (s, s 2 ). ...
Let O = O(n, 2n, q), with q odd, be an egg in PG(4n − 1, q) which is good at π. ...
For q even, one can use Theorem 6.2 and [25, Chapter 7] to show that if O = O(n, 2n, q) is an egg in PG(4n−1, q) and T (O) contains a subGQ of order q n that is fixed pointwise by some nontrivial automorphism ...
doi:10.2140/iig.2009.10.133
fatcat:ddggc74uzvf2zkfavsxbrz6a34
Subquadrangles of order s of generalized quadrangles of order (s,s2), Part III
2006
Journal of combinatorial theory. Series A
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As a corollary we have: if O(n, 2n, q) is an egg in PG(4n − 1, q) for which the translation dual O * (n, 2n, q) is good at the tangent space of O(n, 2n, q) at its element π and if there is a pseudo-oval ...
on O(n, 2n, q) not containing π , then O(n, 2n, q) is classical. ...
Then O = {π 0 , π 1 , . . . , π q m } is a generalized oval of PG(3n − 1, q) for m = n, The tangent spaces of an egg O(n, 2n, q) in PG(4n − 1, q) form an egg O * (n, 2n, q) in the dual space of PG(4n − ...
doi:10.1016/j.jcta.2006.03.013
fatcat:6llexuywmvb5dchfz6gv32snrm
Transitive eggs
2006
Innovations in Incidence Geometry Algebraic Topological and Combinatorial
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We prove that a pseudo-oval or pseudo-ovoid (that is not an oval or ovoid) admitting an insoluble transitive group of collineations is elementary and arises over an extension field from a conic, an elliptic ...
quadric, or a Suzuki-Tits ovoid. ...
Brown and Lavrauw [6] have shown that an egg of PG(4n − 1, q), q even, contains a pseudo-conic if and only if it is elementary and arises from an elliptic quadric. Recently, J. A. Thas and K. ...
doi:10.2140/iig.2006.4.1
fatcat:pzpqqo4ignd5bkxqugmcltjewm
Classification of 8-dimensional rank two commutative semifields
[article]
2016
arXiv
pre-print
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This is done using computational methods utilizing the connection to linear sets in PG(2,q^4). ...
The implications of these results are detailed for other geometric structures such as semifield flocks, ovoids of parabolic quadrics, and eggs. ...
If there exists an 11-space ρ containing an elementary pseudo-oval O q contained in E corresponding to a conic C of PG(2, q 4 ), and there is a tangent space intersecting ρ in a 7-space U whose associated ...
arXiv:1606.06151v2
fatcat:pdlefywj25cg5lxnnpc3metlbe
Page 1899 of Mathematical Reviews Vol. , Issue 2003C
[page]
2003
Mathematical Reviews
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The egg O(n, 2n, q) = 0 of PG(4n — 1,q), ¢ even, is classical if and only if either O is good at some element and contains at least one pseudo- conic, or O contains at least two intersecting pseudo-conics ...
is contained in exactly g + 1 elements of and each point of Q\ (U UV) is contained in exactly one element of @. ...
TRANSLATION GENERALIZED QUADRANGLES FOR WHICH THE TRANSLATION DUAL ARISES FROM A FLOCK
2003
Glasgow Mathematical Journal
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There are important consequences for the theory of generalized ovoids (or eggs) in PG(4n − 1, q), the study of span-symmetric generalized quadrangles, derivation of flocks of the quadratic cone in PG(3 ...
If p is a point and L is a line not incident with p, then there is a unique point-line pair (q, M) such that pIMIqIL. If s = t, then S is also said to be of order s. ...
A. Thas for carefully reading the paper. The author is a research fellow supported by the Flemish Institute for the promotion of Scientific and Technological Research in Industry (IWT), grant no. ...
doi:10.1017/s0017089503001381
fatcat:lsj2jjwvobdc7g2aen4aogc62a
European Journal of Combinatorics Index, Volume 26
2005
European journal of combinatorics (Print)
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in PG(4n − 1, q), q even,
containing a pseudo-pointed conic . . . . . . . . . .
117
CHEN, W.Y.C., DENG, E.Y.P. and DU, R.R.X., Reduction of m-regular
noncrossing partitions . . . . . . . . . . . ...
TANIGUCHI, H., On a family of dual hyperovals over GF(q) with q even . 195 TENT, K., A weak Moufang condition suffices . . . . . . . . 1207 TERWILLIGER, P. and WENG, C. ...
doi:10.1016/s0195-6698(05)00129-0
fatcat:vuytixhru5bupfpbxzzanswabu
Export Signals
[chapter]
2008
Encyclopedia of Genetics, Genomics, Proteomics and Informatics
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Therefore, the probability that any two alleles of the population comes from the same individual is: 1 4N m þ 1 4N f ¼ 1 N e hence N e ¼ 4N m N f N m þN f : Fluctuations in population size from generation ...
If a mutation from A to a is a regular event, the frequency of a may increase at the expense of A qn þ 1 ¼ qn þ mð1 À qnÞ f 1g where q = frequency of the recessive allele, and (1 − q) = frequency of the ...
The conversion to log 2 from log 10 is carried out as follows: log 2 ½1024 ¼ log 10 ½1024ð1=log 10 ½2Þ ¼ 3:010299957 Â log 10 ð1=0:301029995Þ ¼ 3:010299957 Â 3:321928095 % 10 ▶growth curve Export Adaptor ...
doi:10.1007/978-1-4020-6754-9_5734
fatcat:6qstuftdi5dhnbuulcl4m6nfme
Ecology
[chapter]
2008
Encyclopedia of Entomology
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Therefore, the probability that any two alleles of the population comes from the same individual is: 1 4N m þ 1 4N f ¼ 1 N e hence N e ¼ 4N m N f N m þN f : Fluctuations in population size from generation ...
If a mutation from A to a is a regular event, the frequency of a may increase at the expense of A qn þ 1 ¼ qn þ mð1 À qnÞ f 1g where q = frequency of the recessive allele, and (1 − q) = frequency of the ...
The conversion to log 2 from log 10 is carried out as follows: log 2 ½1024 ¼ log 10 ½1024ð1=log 10 ½2Þ ¼ 3:010299957 Â log 10 ð1=0:301029995Þ ¼ 3:010299957 Â 3:321928095 % 10 ▶growth curve Export Adaptor ...
doi:10.1007/978-1-4020-6359-6_3494
fatcat:zdm7o5n7jngerpge54q4mmczme
IETS 2006 abstracts
2006
Reproduction, Fertility and Development
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Even though many experimental findings indicate a pivotal role of IFNτ in the context of embryo-maternal communication in ruminants, a number of other systems may be involved. ...
However, the transcripts of Oct-4 were mainly obtained in unspliced form at the earlier stage of culture (after Day 1 to Day 4 of culture), suggesting that a part of reprogramming processes by the egg ...
Day 1 to Day 3 ...
doi:10.1071/rdv18n2abs
fatcat:gygnnsby3ra3tmfxlmrgrtlfwu
A Generic Method for the Production of Recombinant Proteins in Escherichia coli Using a Dual Hexahistidine-Maltose-Binding Protein Affinity Tag
[chapter]
2007
Msphere
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A generic protocol that utilizes a dual hexahistidine-maltose-binding protein (His 6 -MBP) affinity tag has been developed for the production of recombinant proteins in Escherichia coli. ...
In the final step, the unwanted byproducts of the digest are absorbed by a second round of IMAC, leaving nothing but the pure passenger protein in the flow-through fraction. ...
The author would like to thank Anne Mason (University of Vermont) for help with Table 1 . ...
doi:10.1007/978-1-59745-209-0_1
pmid:17272834
fatcat:3ytri6xm45fztgo5nz7i2o4ssy
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