On the Grossman representations of the automorphism groups of free groups
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Takao Satoh
Abstract
The goal of this paper is to show that, for any
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 19K03477 22K03299
Funding statement: This work is supported by JSPS KAKENHI Grant Numbers 19K03477 and 22K03299.
Acknowledgements
The author would like to thank the referee for their careful reading and helpful comments on the original version of the paper. Part of the paper was done in [14] when the author was a master’s student at the University of Tokyo in 2003, over twenty years ago. The author would like to express his sincere gratitude to Professor Nariya Kawazumi, the advisor of the author in those days, for his valuable suggestions.
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Communicated by: Dessislava Kochloukova
References
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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 𝐸7(𝑞)
- Set-stabilizers in solvable permutation groups
- Regular saturated formations of finite soluble groups
- On the 𝑝-length and 𝔘-class of a 𝑝-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 𝑝5 where 𝑝 is an odd prime
- 𝜏-Tilting finiteness of group algebras of semidirect products of abelian 𝑝-groups and abelian 𝑝′-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 𝐸7(𝑞)
- Set-stabilizers in solvable permutation groups
- Regular saturated formations of finite soluble groups
- On the 𝑝-length and 𝔘-class of a 𝑝-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 𝑝5 where 𝑝 is an odd prime
- 𝜏-Tilting finiteness of group algebras of semidirect products of abelian 𝑝-groups and abelian 𝑝′-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
