〈a, b | aa=1, abababbbb=1〉

Monoid presentation of length 11

Properties

Finite non-Abelian group with 96 elements

Completion parameters

Reduction order: left-to-right b/a

Inverses of generators

a^-1 = a
b^-1 = b²³

Complete rewriting system

b²⁴ ⇒ 1
b³a ⇒ ab³
a² ⇒ 1
aba ⇒ b²ab¹⁷
ab²a ⇒ bab⁷

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Length:	Presentation:	Description:	Related:
10	〈a, b \| bbb=aaa, abab=1〉	Finite non-Abelian group with 96 elements

Other isomorphic instances

6 total

Length:	Presentation:
11	〈a, b \| aa=1, ababbbbab=1〉
11	〈a, b \| aa=1, abbbbabab=1〉
11	〈a, b \| aa=1, babababbb=1〉
11	〈a, b \| aa=1, bbabababb=1〉
11	〈a, b \| aa=1, bababbbb=a〉
11	〈a, b \| aa=1, babbbbab=a〉