On the number of tuples of group elements satisfying a first-order formula
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Elena K. Brusyanskaya
Abstract
Our result contains as special cases the Frobenius theorem (1895) on the number of solutions to the equation
Funding source: Russian Science Foundation
Award Identifier / Grant number: 22-11-00075
Funding statement: The work was supported by the Russian Science Foundation, project no. 22-11-00075.
Acknowledgements
The author thanks A. A. Klyachko and an anonymous referee for valuable remarks.
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Communicated by: Evgenii I. Khukhro
References
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Articles in the same Issue
- 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
