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〈
a
,
b
|
abba
=
b
,
aaabab
=
1
〉
Monoid presentation of length 11
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
a(ab)
2
b
-1
=
a
3
ba
Complete rewriting system
ba
2
⇒
a
2
b
ab
2
a
⇒
b
(ba)
2
⇒
(ab)
2
b
3
a
⇒
ab
3
a
3
b
2
⇒
ba
a
3
bab
⇒ 1
a
2
bab
2
⇒
b
2
a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
abba
=
b
,
aababa
=
1
〉
11
〈
a
,
b
|
abba
=
b
,
abaaab
=
1
〉
