Back
〈
a
,
b
|
aaa
=
bb
,
bbbb
=
1
〉
Monoid presentation of length 9
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
a
2
b
2
b
-1
=
b
3
Complete rewriting system
a
3
⇒
b
2
b
2
a
⇒
ab
2
b
4
⇒ 1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
7 total
Length:
Presentation:
10
〈
a
,
b
|
aaa
=
bb
,
aaabb
=
1
〉
10
〈
a
,
b
|
aaa
=
bb
,
aabba
=
1
〉
10
〈
a
,
b
|
aaa
=
bb
,
baaab
=
1
〉
11
〈
a
,
b
|
aaab
=
bbb
,
bbbb
=
1
〉
11
〈
a
,
b
|
aaabb
=
1
,
aaaaaa
=
1
〉
11
〈
a
,
b
|
aabba
=
1
,
aaaaaa
=
1
〉
11
〈
a
,
b
|
aaa
=
bb
,
aaaaaa
=
1
〉
