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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.16552 |
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Table of Contents:
- We extend the class of abelian groups for which a conjecture of Asai and Yoshida on the number of crossed homomorphisms holds. We also prove a general result which connects certain problems concerning divisibility in groups to the Asai-Yoshida conjecture. One of the consequences is that for finite groups F and G the number |Hom(F,G)| is divisible by gcd(|G|, |F:F'|) if F/F' is a product of a cyclic group and a group with cube-free exponent.