#4528 ⟨a, b | aaababba=bab⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaabbab^-1a^-1b^-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.	a³bab²a ⇒ bab	[1]
2.	a³bab³ab ⇒ b(aba)²b²a	[2]

# ab:aaababba=bab ba - -
aaababba=bab
aaababbbab=babaababba

1 unique, 1 total

Σ	#	Presentation	Properties
10	2466	⟨a, b \| aaabba=bbab⟩	Can Inf