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〈
a
,
b
|
aaa
=
1
,
ababab
=
ba
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 81 elements
Completion parameters
Reduction order: left-to-right b/a
Complete rewriting system
b
7
⇒
b
bab
6
⇒
ba
b
3
a
⇒
ab
3
ba
2
⇒
ab
2
ab
5
(b
2
a)
2
⇒
a
2
b
4
a
3
⇒ 1
a
2
ba
⇒
b(ab)
2
a(ba)
2
⇒
bab
5
abab
2
a
⇒
b(ba)
2
b
2
a
2
b(ba)
2
⇒
bab
2
ab
4
Idempotents
2 elements
1
b
6
Right Cayley graph
Left Cayley graph
Others with same cardinality
2 unique, 6 total
Length:
Presentation:
Description:
Related:
9
〈
a
,
b
|
aaa
=
1
,
abbb
=
ba
〉
Finite non-commutative monoid with 81 elements
2 isomorphic, 1 anti-isomorphic
11
〈
a
,
b
|
aaa
=
1
,
aabbb
=
baa
〉
Finite non-commutative monoid with 81 elements
1 isomorphic
