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〈
a
,
b
|
aaaa
=
1
,
abbabb
=
1
〉
Monoid presentation of length 10
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
a
3
b
-1
=
ab
2
ab
Complete rewriting system
a
4
⇒ 1
bab
2
a
⇒
ab
2
ab
b
2
ab
2
⇒
a
3
b
2
aba
3
⇒
a
3
bab
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
1 total
Length:
Presentation:
10
〈
a
,
b
|
aaaa
=
1
,
babbab
=
1
〉