#3293 ⟨a, b | abbabbbabba=1⟩
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- Properties
- Rewriting system
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = b2acd
- b-1 = b2c2
- c-1 = cd
- d-1 = c2
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = 0, c < d; deg(b) = deg(a) = 1, b < a
- Auxiliary generators:
- abba=c
- bbb=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:abbabbbabba=1 cd/ba abba=c,bbb=d morph:4/0,3/0
dc=cd
ccd=1
db=bd
ccb=bcc
acb=bca
acda=bcc
bbb=d
abb=cbbacd