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〈
a
,
b
|
aaa
=
1
,
abba
=
bb
〉
Monoid presentation of length 9
Properties
Infinite non-commutative monoid
Completion parameters
Reduction order: left-to-right a/b
Complete rewriting system
a
3
⇒ 1
ab
2
⇒
b
2
a
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
4 total
Length:
Presentation:
10
〈
a
,
b
|
aaa
=
1
,
aabb
=
bba
〉
11
〈
a
,
b
|
aaa
=
1
,
aabbaa
=
bb
〉
11
〈
a
,
b
|
aaa
=
1
,
aabba
=
abb
〉
11
〈
a
,
b
|
aaa
=
1
,
ababa
=
bab
〉