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〈
a
,
b
|
abba
=
b
,
aabaab
=
1
〉
Monoid presentation of length 11
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
aba
2
b
b
-1
=
a
2
ba
2
Complete rewriting system
ab
2
a
⇒
b
ba
3
⇒
a
3
b
(ba)
2
⇒
a
2
b
2
b
2
a
2
⇒
(ab)
2
b
3
a
⇒
ab
3
a(ab)
2
⇒
ba
ba
2
ba
⇒
aba
2
b
a
4
b
2
⇒
ba
2
(a
2
b)
2
⇒ 1
aba
2
b
2
⇒
b
2
a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
1 total
Length:
Presentation:
11
〈
a
,
b
|
abba
=
b
,
abaaba
=
1
〉
