On the lattice of subgroups of a free group: complements and rank
A $\vee$-complement of a subgroup $H \leqslant \mathbb{F}_n$ is a subgroup $K \leqslant \mathbb{F}_n$ such that $H \vee K = \mathbb{F}_n$. If we also ask $K$ to have trivial intersection with $H$, then we say that $K$ is a $\oplus$-complement of $H$. The minimum possible rank of a $\vee$-complement...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Episciences
2020-03-01
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| Series: | Groups, Complexity, Cryptology |
| Subjects: | |
| Online Access: | https://gcc.episciences.org/6059/pdf |