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〈
a
,
b
|
abab
=
1
,
aaaaa
=
1
〉
Monoid presentation of length 9
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right a/b
Inverses of generators
a
-1
=
a
4
b
-1
=
aba
Complete rewriting system
a
5
⇒ 1
bab
⇒
a
4
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
6 total
Length:
Presentation:
11
〈
a
,
b
|
aaaa
=
bab
,
abab
=
1
〉
11
〈
a
,
b
|
ababb
=
b
,
bbbbb
=
1
〉
11
〈
a
,
b
|
babab
=
b
,
bbbbb
=
1
〉
11
〈
a
,
b
|
abab
=
1
,
aaaaaa
=
a
〉
11
〈
a
,
b
|
abab
=
1
,
aaaaab
=
b
〉
11
〈
a
,
b
|
abab
=
1
,
baaaaa
=
b
〉
