Back
〈
a
,
b
|
aba
=
bb
,
bab
=
aaa
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 75 elements
Completion parameters
Reduction order: left-to-right a/b
Complete rewriting system
a
17
⇒
a
9
ba
14
⇒
ba
6
a
2
ba
11
⇒
a
2
ba
3
a
3
ba
10
⇒
a
3
ba
2
a
4
b
⇒
ba
4
b
2
⇒
aba
bab
⇒
a
3
ba
2
ba
⇒
a
3
b
ba
3
ba
8
⇒
ba
3
b
aba
2
b
⇒
ba
3
aba
3
b
⇒
ba
3
ba
7
Idempotents
2 elements
1
a
16
Right Cayley graph
Left Cayley graph
Others with same cardinality
2 unique, 2 total
Length:
Presentation:
Description:
Related:
11
〈
a
,
b
|
bbb
=
aaa
,
abba
=
b
〉
Finite non-commutative monoid with 75 elements
11
〈
a
,
b
|
aaa
=
bb
,
ababa
=
b
〉
Finite non-commutative monoid with 75 elements
