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〈
a
,
b
|
aaaa
=
bb
,
aabb
=
1
〉
Monoid presentation of length 10
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right a/b
Inverses of generators
a
-1
=
a
5
b
-1
=
ba
2
Complete rewriting system
a
6
⇒ 1
a
2
b
⇒
ba
2
b
2
⇒
a
4
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
5 total
Length:
Presentation:
10
〈
a
,
b
|
aaaa
=
bb
,
abba
=
1
〉
10
〈
a
,
b
|
aaaa
=
bb
,
baab
=
1
〉
10
〈
a
,
b
|
aabb
=
1
,
aaaaaa
=
1
〉
10
〈
a
,
b
|
abba
=
1
,
aaaaaa
=
1
〉
10
〈
a
,
b
|
abba
=
1
,
bbbbbb
=
1
〉
