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〈
a
,
b
|
aa
=
1
,
ababbbba
=
b
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 138 elements
Completion parameters
Reduction order: right-to-left b/a
Complete rewriting system
b
9
⇒
b
b
8
ab
⇒
ab
ab
8
⇒
b
8
a
a
2
⇒ 1
aba
⇒
bab
4
ab
4
a
⇒
b
7
ab
ab
7
a
⇒
b
4
ab
7
ab
3
ab
⇒
b
7
ab
5
a
ab
6
ab
⇒
b(b
3
a)
2
(ab
2
)
2
⇒
(b
6
a)
2
ab
5
ab
4
⇒
b
7
ab
2
a
ab
5
ab
2
a
⇒
(b
5
a)
2
b
ab
5
ab
3
a
⇒
(bab)
2
Idempotents
2 elements
1
b
8
Right Cayley graph
Left Cayley graph
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aa
=
1
,
ababbbb
=
ba
〉
11
〈
a
,
b
|
aa
=
1
,
babbbb
=
aba
〉
Other anti-isomorphic instances
1 total
Length:
Presentation:
11
〈
a
,
b
|
aa
=
1
,
abbbbab
=
ba
〉
