High Quality Content by WIKIPEDIA articles! In the mathematical field of group theory, the Rudvalis group Ru (found by Arunas Rudvalis (1973) and constructed by Conway and Wales (1973)) is a sporadic simple group of order 214 · 33 · 53 · 7 · 13 · 29= 145926144000 ? 1011. Ru is one of the six sporadic simple groups called the pariahs, because they are not found within the Monster group. The Rudvalis group acts as a rank 3 permutation group on 4060 points, with one point stabilizer the Ree group 2F4(2), the automorphism group of the Tits group. This representation implies a strongly regular graph in which each vertex has 2304 neighbors and 1755 non-neighbors. Two adjacent vertices have 1328 common neighbors; two non-adjacent ones have 1208. Its Schur multiplier has order 2, and its outer automorphism group is trivial. Its double cover acts on a 28-dimensional lattice over the Gaussian integers. Reducing this lattice modulo the principal ideal (1 + i) gives an action of the Rudvalis group on a 28-dimensional vector space over the field with 2 elements. Duncan (2006) used this to construct a vertex operator algebra acted on by the double cover.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.