A character theoretic criterion for Fitting height
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Heng Lv
Abstract
For a finite group 𝐺, set
In this paper, we study finite groups 𝐺 with
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12471019
Funding source: Fundamental Research Funds for the Central Universities
Award Identifier / Grant number: SWU-XDJH202305
Funding source: Chongqing Municipal Science and Technology Bureau
Award Identifier / Grant number: CSTB2024NSCQ-MSX0544
Funding source: Simons Foundation
Award Identifier / Grant number: 918096
Funding statement: This research was supported by the National Natural Science Foundation of China (No. 12471019), Fundamental Research Funds for Central Universities (No. SWU-XDJH202305), the Natural Science Foundation Project of CQCSTB (No. CSTB2024NSCQ-MSX0544), and a grant from the Simons Foundation (#918096).
Acknowledgements
The authors are grateful to the referee for the valuable suggestions which greatly improved the manuscript.
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Communicated by: Frank Lübeck
References
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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the kernel of actions on asymptotic cones
- CAT(0) cube complexes and asymptotically rigid mapping class groups
- Iwip endomorphisms of free groups and fixed points of graph selfmaps
- Space of orders with finite Cantor–Bendixson rank
- Lifting subgroups of PSL2 to SL2 over local fields
- Regular 3-polytopes of order 2𝑛𝑝
- On the number of tuples of group elements satisfying a first-order formula
- Exponent-critical groups
- On soluble groups in which commutators have prime power order
- A character theoretic criterion for Fitting height
- Hilbert divisors and degrees of irreducible Brauer characters
- Character triples and relative defect zero characters
Artikel in diesem Heft
- Frontmatter
- On the kernel of actions on asymptotic cones
- CAT(0) cube complexes and asymptotically rigid mapping class groups
- Iwip endomorphisms of free groups and fixed points of graph selfmaps
- Space of orders with finite Cantor–Bendixson rank
- Lifting subgroups of PSL2 to SL2 over local fields
- Regular 3-polytopes of order 2𝑛𝑝
- On the number of tuples of group elements satisfying a first-order formula
- Exponent-critical groups
- On soluble groups in which commutators have prime power order
- A character theoretic criterion for Fitting height
- Hilbert divisors and degrees of irreducible Brauer characters
- Character triples and relative defect zero characters
