#5434 ⟨a, b | aaaaaa=babbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a³ba² has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaaabbba^-1b⟩
- Embedding: φ(a) = a, φ(b) = b^-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.	abab³ ⇒ bab³a	[2]
2.	a⁶ ⇒ bab³	[1]

# ab:aaaaaa=babbb ba - -
ababbb=babbba
aaaaaa=babbb

1 unique, 1 total

Σ	#	Presentation	Properties
11	3532	⟨a, b \| aaabbbbbba=b⟩	Can Inf