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〈
a
,
b
|
aba
=
bb
,
bbb
=
1
〉
Monoid presentation of length 8
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
bab
b
-1
=
b
2
Complete rewriting system
aba
⇒
b
2
b
3
⇒ 1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
5 total
Length:
Presentation:
9
〈
a
,
b
|
aba
=
bb
,
abab
=
1
〉
11
〈
a
,
b
|
aaba
=
abb
,
abab
=
1
〉
11
〈
a
,
b
|
aaba
=
abb
,
baba
=
1
〉
11
〈
a
,
b
|
abab
=
1
,
abaaba
=
b
〉
11
〈
a
,
b
|
abab
=
1
,
abbba
=
aa
〉
