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〈
a
,
b
|
aaaa
=
1
,
aabbbb
=
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
=
a
2
b
3
Complete rewriting system
ba
2
⇒
a
2
b
a
4
⇒ 1
b
4
⇒
a
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
3 total
Length:
Presentation:
10
〈
a
,
b
|
aaaa
=
1
,
abbbba
=
1
〉
10
〈
a
,
b
|
aaaa
=
1
,
baabbb
=
1
〉
10
〈
a
,
b
|
aaaa
=
1
,
bbaabb
=
1
〉