Back
〈
a
,
b
|
aaa
=
1
,
babbabb
=
a
〉
Monoid presentation of length 11
Properties
Finite non-Abelian group with 105 elements
Completion parameters
Reduction order: left-to-right b/a
Inverses of generators
a
-1
=
a
2
b
-1
=
b
14
Complete rewriting system
b
15
⇒ 1
b
3
a
⇒
ab
3
ab
2
a
⇒
b
2
ab
10
(ba)
2
⇒
a
2
b
2
b
2
a
2
⇒
(ab)
2
a
3
⇒ 1
a
2
ba
⇒
ba
2
b
10
aba
2
⇒
bab
5
Right Cayley graph
Left Cayley graph
Others with same cardinality
2 unique, 9 total
Length:
Presentation:
Description:
Related:
10
〈
a
,
b
|
aaa
=
1
,
bbabbb
=
a
〉
Finite non-Abelian group with 105 elements
3 isomorphic
11
〈
a
,
b
|
aaa
=
1
,
aabbbabb
=
1
〉
Finite non-Abelian group with 105 elements
3 isomorphic, 1 anti-isomorphic
