#2831 ⟨a, b | aaaaabbabba=1⟩
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- Properties
- Rewriting system
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = c2a4
- b-1 = bdac
- c-1 = dc
- d-1 = c2
- Reduction order:
- Left-to-right recursive path with deg(d) = deg(c) = deg(a) = 0, d < c < a; deg(b) = 1
- Auxiliary generators:
- bba=c
- aaaaa=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaaaabbabba=1 dca/b bba=c,aaaaa=d morph:3/0,5/0
cd=dc
ad=da
dcc=1
acc=cca
aaaaa=d
acb=ccbdac
aaaab=ddcbcccaaaa
bb=cccaaaa