Results 211 to 220 of about 29,075 (258)

A characterization of translation planes and dual translation planes of characteristic ≠2

open access: yesA characterization of translation planes and dual translation planes of characteristic ≠2
openaire   +1 more source

In-Petri-dish acoustic vortex tweezers.

open access: yesLab Chip
Li T   +9 more
europepmc   +1 more source

The translation planes of order 49

Designs, Codes, and Cryptography, 1995
The authors determine the quantity of classes of isomorphic translation planes of order 49. They report on the computer search for spreads in \(PG (3,7)\) and on classifying the spreads with the computer program NAUTY that looks for graph isomorphisms. The search results in a list of 1347 translation planes in which known planes formerly given by other
Gordon F Royle
exaly   +2 more sources

A characterization of «likeable» translation planes

Rendiconti Del Circolo Matematico Di Palermo, 1983
A translation plane of order \(q^ 2\) is said to be 'likeable' when it has kern \(GF(q)\) and when its linear translation complement contains a group of order \(q^ 2\) whose elation subgroup consists of elements, which, when the plane is constructed from a spread in \(PG(3,q)\), fix a regulus. Such planes are studied in this paper, mostly in terms of \(
Fink, J. B.   +2 more
exaly   +3 more sources

Translation planes of order 27

Designs, Codes, and Cryptography, 1994
Up to isomorphism there are exactly seven, already known translation planes of order 27. The author shows this with the help of a computer and describes the seven types by invariants that play an important role in the computer search. Independently of the computer proof it is shown which of these types occur in the case that there is an elation in the ...
exaly   +2 more sources

A family of translation planes [PDF]

open access: possibleAustralas. J Comb., 2010
Summary: An infinite family of non-Desarguesian translation planes of order \(q^4\) with kernel \(\text{GF}(q^2)\) is constructed, for any odd prime power \(q\). The collineation group of each plane has orbits of lengths 1, \(q^2\), and \(q^4- q^2\) on the translation line.
Andrew Hudson, Tim Penttila
openaire   +1 more source

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