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〈
a
,
b
|
aaa
=
1
,
ababbbbb
=
1
〉
Monoid presentation of length 11
Properties
Finite non-Abelian group with 432 elements
Completion parameters
Reduction order: left-to-right b/a
Inverses of generators
a
-1
=
bab
5
b
-1
=
b
71
Complete rewriting system
b
72
⇒ 1
b
4
a
⇒
ab
4
a
2
⇒
bab
5
aba
⇒
b
67
ab
2
a
⇒
b
3
ab
59
bab
3
a
⇒
ab
3
ab
55
Right Cayley graph
Left Cayley graph
Other isomorphic instances
3 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
abbbbbab
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
bababbbb
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
bbababbb
=
1
〉
