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