#4324 ⟨a, b | ababbbbba=bb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabba^-1a^-1a^-1b⟩
- Anti-isomorphic embedding: φ(a) = ba^-1, φ(b) = a

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

#	Rule	Proof
1.	abab⁵a ⇒ b²	[1]
2.	abab⁷ ⇒ b³ab⁵a	[2]

# ab:ababbbbba=bb ba - -
ababbbbba=bb
ababbbbbbb=bbbabbbbba

2 unique, 2 total

Σ	#	Presentation	Properties
10	2562	⟨a, b \| aabbba=bbbb⟩	Can Inf
11	4852	⟨a, b \| ababbbba=bbb⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
10	2290	⟨a, b \| aabbbba=bbb⟩	Can Inf