Structure of an exotic 2-local subgroup in πΈ7(π)
Abstract
Let πΊ be the finite simple group of Lie type
Furthermore, such an πΈ is unique up to conjugacy in
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12350410360
Funding statement: Supported by NSFC grant 12350410360.
Acknowledgements
The author would like to thank David Craven and Donna Testerman for helpful discussions and comments, and an anonymous referee for pointing out some misprints in an earlier version of this paper.
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Communicated by: Christopher W. Parker
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Articles in the same Issue
- Frontmatter
- Bounding the degree of generic sharp transitivity
- Structure of an exotic 2-local subgroup in πΈ7(π)
- Set-stabilizers in solvable permutation groups
- Regular saturated formations of finite soluble groups
- On the π-length and π-class of a π-solvable finite group
- Finite 2-groups with exactly three automorphism orbits
- Finite class 2 nilpotent and Heisenberg groups
- Minimal degrees for faithful permutation representations of groups of order π5 where π is an odd prime
- π-Tilting finiteness of group algebras of semidirect products of abelian π-groups and abelian πβ²-groups
- On the Grossman representations of the automorphism groups of free groups
- Strong indecomposability of the outer automorphism groups of nonabelian free profinite groups
- The proper geometric dimension of the mapping class group of an orientable surface with punctures
- A note on complex hyperbolic lattices and strict hyperbolization
Articles in the same Issue
- Frontmatter
- Bounding the degree of generic sharp transitivity
- Structure of an exotic 2-local subgroup in πΈ7(π)
- Set-stabilizers in solvable permutation groups
- Regular saturated formations of finite soluble groups
- On the π-length and π-class of a π-solvable finite group
- Finite 2-groups with exactly three automorphism orbits
- Finite class 2 nilpotent and Heisenberg groups
- Minimal degrees for faithful permutation representations of groups of order π5 where π is an odd prime
- π-Tilting finiteness of group algebras of semidirect products of abelian π-groups and abelian πβ²-groups
- On the Grossman representations of the automorphism groups of free groups
- Strong indecomposability of the outer automorphism groups of nonabelian free profinite groups
- The proper geometric dimension of the mapping class group of an orientable surface with punctures
- A note on complex hyperbolic lattices and strict hyperbolization
