منابع مشابه
A Geometric Characterization of Fischer's Baby Monster
The sporadic simple group F2 known as Fischer's Baby Monster acts flag-transitively on a rank 5 P-geometry G(F2). P-geometries are geometries with string diagrams, all of whose nonempty edges except one are projective planes of order 2 and one terminal edge is the geometry of the Petersen graph. Let AC be a flag-transitive P-geometry of rank 5. Suppose that each proper residue of K is isomorphi...
متن کاملA New Construction of the Baby Monster and Its Applications
In this paper we show how to construct 4370 x 4370 matrices over GF(2), generating Fischer's {3,4}transposition group B, popularly known as the Baby Monster. This for the first time gives a construction which permits effective calculations to be performed in this very large simple group. We use this to give a new existence proof, and describe briefly applications to subgroup structure, geometry...
متن کامل2A-orbifold construction and the baby-monster vertex operator superalgebra
In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Höhn is isomorphic to 2×B, where B is the baby-monster sporadic finite simple group, and determine irreducible modules for the baby-monster vertex operator algebra. Our result has many corollaries. In particular, we can prove that the Z2-orbifold construction with respect to...
متن کاملOrbit Invariants and an Application to the Baby Monster
We prove that the minimal base size for the permutation action of the sporadic simple Baby monster group B on the cosets of its 7th and 8th maximal subgroup is 3 and 2 respectively. Motivated by the large sizes of these permutation actions, we develop new computational methods to prove that an orbit is regular and to show that two orbits are disjoint.
متن کاملOn the action of the sporadic simple Baby Monster group on its conjugacy class 2B
We determine the character table of the endomorphism ring of the permutation module associated with the multiplicity-free action of the sporadic simple Baby Monster group B on its conjugacy class 2B, where the centraliser of a 2B-element is a maximal subgroup of shape 2.Co2. This is one of the first applications of a new general computational technique to enumerate big orbits. Mathematics Subje...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2001
ISSN: 0020-9910
DOI: 10.1007/pl00005804