Back
〈
a
,
b
|
aaab
=
bba
,
abab
=
1
〉
Monoid presentation of length 11
Properties
Finite non-Abelian group with 54 elements
Completion parameters
Reduction order: left-to-right b/a
Inverses of generators
a
-1
=
bab
b
-1
=
b
8
Complete rewriting system
b
9
⇒ 1
b
3
a
⇒
ab
6
aba
⇒
b
8
ba
2
⇒
a
2
b
4
bab
2
a
⇒
ab
2
ab
7
a
3
⇒
b
2
ab
8
a
2
b
2
a
⇒
bab
2
Right Cayley graph
Left Cayley graph
Others with same cardinality
1 unique, 2 total
Length:
Presentation:
Description:
Related:
11
〈
a
,
b
|
abab
=
1
,
abbaaa
=
b
〉
Finite non-Abelian group with 54 elements
1 isomorphic
Other isomorphic instances
3 total
Length:
Presentation:
11
〈
a
,
b
|
aaab
=
bba
,
baba
=
1
〉
11
〈
a
,
b
|
abab
=
1
,
aaabba
=
b
〉
11
〈
a
,
b
|
abab
=
1
,
aabba
=
bb
〉
