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EJC
2010
13 years 4 months ago
Some graphs related to the small Mathieu groups
Two different constructions are given of a rank 8 arc-transitive graph with 165 vertices and valency 8, whose automorphism group
Alice Devillers, Michael Giudici, Cai Heng Li, Che...
JSYML
2000
103views more  JSYML 2000»
13 years 4 months ago
A Model Complete Theory of Valued D-Fields
The notion of a D-ring, generalizing that of a differential or a difference ring, is introduced. Quantifier elimination and a version of the AxKochen-Ershov principle is proven for...
Thomas Scanlon
COMBINATORICS
2000
96views more  COMBINATORICS 2000»
13 years 4 months ago
Automorphisms and Enumeration of Switching Classes of Tournaments
Two tournaments T1 and T2 on the same vertex set X are said to be switching equivalent if X has a subset Y such that T2 arises from T1 by switching all arcs between Y and its comp...
László Babai, Peter J. Cameron
TIT
1998
100views more  TIT 1998»
13 years 4 months ago
Block-Coded PSK Modulation Using Two-Level Group Codes Over Dihedral Groups
—A length n group code over a group G is a subgroup of Gn under component-wise group operation. Group codes over dihedral groups DM, with 2M elements, that are two-level construc...
Jyoti Bali, B. Sundar Rajan
COMBINATORICS
2006
136views more  COMBINATORICS 2006»
13 years 4 months ago
3-Designs from PGL(2, q)
The group PGL(2, q), q = pn, p an odd prime, is 3-transitive on the projective line and therefore it can be used to construct 3-designs. In this paper, we determine the sizes of o...
Peter J. Cameron, G. R. Omidi, Behruz Tayfeh-Rezai...