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〈
a
,
b
|
aa
=
1
,
abbbbbba
=
b
〉
Monoid presentation of length 11
Properties
Finite non-commutative monoid with 72 elements
Completion parameters
Reduction order: left-to-right b/a
Complete rewriting system
b
36
⇒
b
ba
⇒
ab
6
a
2
⇒ 1
Idempotents
2 elements
1
b
35
Right Cayley graph
Left Cayley graph
Others with same cardinality
1 unique, 3 total
Length:
Presentation:
Description:
Related:
11
〈
a
,
b
|
aba
=
bb
,
aaabbb
=
1
〉
Finite non-Abelian group with 72 elements
2 isomorphic
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aa
=
1
,
abbbbbb
=
ba
〉
11
〈
a
,
b
|
aa
=
1
,
bbbbbb
=
aba
〉
