Conway [1] introduced a set M 13 of permutations on 13 letters, which contains the Mathieu group M 12 , and he claims that M 13 is 6-transitive in some sense.
Since Conway's M13 is not (7, 1, 1, 1, 1, 1, 1)- transitive on this definition, Martin and Sagan raised the question to determine the full transitivity of M13.
Mathieu group $M_{12}$ , and he claims that $M_{13}$ is 6-transitive in some sense. Martin andSagan [2] generalized the concept of transitivity for a set of.
The transitivity of Conway's $M̲13$(Theory and Applications of Combinatorial Designs with Related Field). Author(s). Nakashima, Yasuhiro. Citation. 数理解析研究 ...
W.J. Martin and B.E. Sagan generalized the concept of transitivity for a set of permutations by defining @l-transitivity for each partition @l of the degree of ...
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Apr 1, 1996 · We begin from a classical point of view, describing the Mathieu groups in terms of their most salient properties, multiple transitivity and ...
Jun 16, 2007 · The aim of Conway's game M(13) is to get the hole at the top point and all counters in order 1,2,...,12 when moving clockwise along the circle.
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Dec 22, 2017 · The board for Conway's game is a “projective plane of order 3,” which consists of thirteen points and thirteen lines. Each line contains four ...
In general, the answer is no, but M13 does exhibit some limited forms of sextuple transitivity, ... The Mathieu group M12 and Conway's M13-game. Undergrad ...
In mathematics, the Mathieu groupoid M13 is a groupoid acting on 13 points such that the stabilizer of each point is the Mathieu group M12.