#4960 ⟨a, b | aaaabaa=bbab⟩

Properties

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

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.	b²ab ⇒ a⁴ba²	[1]
2.	a³(aba)²b ⇒ b²a⁵ba²	[2]

# ab:aaaabaa=bbab a/b - -
bbab=aaaabaa
aaaabaabab=bbaaaaabaa

1 unique, 1 total

Σ	#	Presentation	Properties
11	3391	⟨a, b \| aaaababbaa=b⟩	Can Inf