〈a, b | aa=1, ababbbbbb=1〉

Monoid presentation of length 11

Properties

Finite non-Abelian group with 70 elements

Completion parameters

Reduction order: left-to-right b/a

Inverses of generators

a^-1 = a
b^-1 = b³⁴

Complete rewriting system

b³⁵ ⇒ 1
ba ⇒ ab²⁹
a² ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Length:	Presentation:	Description:	Related:
11	〈a, b \| abab=1, aaaaa=bb〉	Finite non-Abelian group with 70 elements

Other isomorphic instances

5 total

Length:	Presentation:
11	〈a, b \| aa=1, abbbbbbab=1〉
11	〈a, b \| aa=1, bababbbbb=1〉
11	〈a, b \| aa=1, bbababbbb=1〉
11	〈a, b \| aa=1, bbbababbb=1〉
11	〈a, b \| aa=1, babbbbbb=a〉