On soluble groups in which commutators have prime power order
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Mateus Figueiredo
Abstract
The article deals with finite groups in which commutators have prime power order (CPPO-groups).
We show that if 𝐺 is a soluble CPPO-group, then the order of the commutator subgroup
Funding statement: The work of the second author was supported by FAPDF and CNPq.
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Communicated by: Andrea Lucchini
References
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- 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
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- 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
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- Hilbert divisors and degrees of irreducible Brauer characters
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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
