A Lyndon’s identity theorem for one-relator monoids
For every one-relator monoid M= ⟨ A∣ u= v⟩ with u, v∈ A∗ we construct a contractible M-CW complex and use it to build a projective resolution of the trivial module which is finitely generated in all dimensions. This proves that all one-relator monoids are of type FP ∞, answering positively a problem...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Birkhauser
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |