A characterisation of almost simple groups with socle 2E6(2) or M(22)
-
Chris Parker
,
M. Reza Salarian
Abstract
We show that the sporadic simple group M(22), the exceptional group of Lie type 2E6(2) and their automorphism groups are uniquely determined by the approximate structure of the centralizer of an element of order 3 together with some information about the fusion of this element in the group.
The initial work on this paper was prepared during a visit of the first and third author to the Mathematisches Forschungsinstitut Oberwolfach as part of the Research in Pairs Programme, 30 November–12 December, 2009. The authors are pleased to thank the MFO and its staff for the pleasant and stimulating research environment that they provided. The first author is also grateful to the DFG for support and the mathematics department in Halle for their hospitality.
Both authors also like to thank the referees for their careful reading of the manuscript and the suggestions, which lead to improvements of the final paper.
© 2015 by De Gruyter
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- Frontmatter
- Subgroups which admit extensions of homomorphisms
- On the Dedekind completion of function rings
- Semiperfect and coreflexive coalgebras
- Approximations to the Karcher mean on Hadamard spaces via geometric power means
- Separable convolution-elliptic operators with parameters
- Charged spaces
- Autotopies and quasigroup identities: New aspects of non-associative division algebras
- Dualizing complexes and homomorphisms vanishing in Koszul homology
- Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type
- Hardy spaces associated with a pair of commuting operators
- Weighted multilinear Hardy operators and commutators
- A characterisation of almost simple groups with socle 2E6(2) or M(22)
- The Σ1-invariant for Artin groups of circuit rank 1
- The average signature of graph links
- Peetre's theorem in the locally convex setting
- Small covers, infra-solvmanifolds and curvature
- Farrell–Jones spheres and inertia groups of complex projective spaces
- Character sums over unions of intervals
- Cones of certain isolated left orderings and chain domains
- On Wolff's L5/2-Kakeya maximal inequality in ℝ3
- Fractional type Marcinkiewicz integral operators on function spaces
- Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
- Homogeneous (α,β)-metrics of Douglas type
Articles in the same Issue
- Frontmatter
- Subgroups which admit extensions of homomorphisms
- On the Dedekind completion of function rings
- Semiperfect and coreflexive coalgebras
- Approximations to the Karcher mean on Hadamard spaces via geometric power means
- Separable convolution-elliptic operators with parameters
- Charged spaces
- Autotopies and quasigroup identities: New aspects of non-associative division algebras
- Dualizing complexes and homomorphisms vanishing in Koszul homology
- Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type
- Hardy spaces associated with a pair of commuting operators
- Weighted multilinear Hardy operators and commutators
- A characterisation of almost simple groups with socle 2E6(2) or M(22)
- The Σ1-invariant for Artin groups of circuit rank 1
- The average signature of graph links
- Peetre's theorem in the locally convex setting
- Small covers, infra-solvmanifolds and curvature
- Farrell–Jones spheres and inertia groups of complex projective spaces
- Character sums over unions of intervals
- Cones of certain isolated left orderings and chain domains
- On Wolff's L5/2-Kakeya maximal inequality in ℝ3
- Fractional type Marcinkiewicz integral operators on function spaces
- Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
- Homogeneous (α,β)-metrics of Douglas type
