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〈
a
,
b
|
ba
=
ab
,
aaaaa
=
1
〉
Monoid presentation of length 9
Properties
Infinite commutative monoid
Isomorphic to commutative presentation: 〈
a
,
b
| 5
b
=0〉
Grothendieck group is ℤ
5
⊕ ℤ
Completion parameters
Reduction order: left-to-right ab
Complete rewriting system
ba
⇒
ab
a
5
⇒ 1
Right Cayley graph (truncated)
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aba
=
aab
,
aaaaa
=
1
〉
11
〈
a
,
b
|
baa
=
aab
,
aaaaa
=
1
〉