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〈
a
,
b
|
aaa
=
1
,
bbbbb
=
1
〉
Monoid presentation of length 8
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
a
2
b
-1
=
b
4
Complete rewriting system
a
3
⇒ 1
b
5
⇒ 1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
7 total
Length:
Presentation:
10
〈
a
,
b
|
aaab
=
b
,
bbbbb
=
1
〉
10
〈
a
,
b
|
aaa
=
1
,
abbbbb
=
a
〉
11
〈
a
,
b
|
aaa
=
1
,
aaabbbbb
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
aabbbbba
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
baaabbbb
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
bbaaabbb
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
bbbbb
=
aaa
〉