#2066 ⟨a, b | ababbaba=bb⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabba^-1bb⟩
- Embedding: φ(a) = ab, φ(b) = a^-1

Format:	Pretty Plain
Word:
	Enter a word above to compute its normal form. Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Strategy:	Leftmost Rightmost
Result:	1 1

# ab:ababbaba=bb ab - -
bbbbaba=ababbbb
ababbaba=bb
bbbabbaba=ababbabbb

5 unique, 8 total

Σ	#	Presentation	Properties	φ
8	388	⟨a, b \| aabbbaa=b⟩	Can Inf
8	520	⟨a, b \| aabaa=bbb⟩	Can Inf
10	1360	⟨a, b \| aaababbaba=1⟩	Grp Inf	3
10	1694	⟨a, b \| aabababaa=b⟩	Can Inf
10	2766	⟨a, b \| babab=aabaa⟩	Can Inf