#5050 ⟨a, b | aaababa=bbab⟩

Properties

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

#	Rule	Proof
1.	a³(ba)² ⇒ b²ab	[1]
2.	b²(aba)²ba ⇒ a³bab³ab	[2]

# ab:aaababa=bbab ab - -
aaababa=bbab
bbabaababa=aaababbbab

1 unique, 1 total

Σ	#	Presentation	Properties
10	1904	⟨a, b \| aaababba=bb⟩	Can Inf

1 unique, 1 total

Σ	#	Presentation	Properties
11	3600	⟨a, b \| aabababbba=b⟩	Can Inf