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