#5238 ⟨a, b | aabbaba=bbbb⟩

Properties

Sum of relation sides is 11
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaaababa^-1bb⟩
- Embedding: φ(a) = ab, φ(b) = a^-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.	b⁴ ⇒ a²b(ba)²	[1]
2.	a²b²(ab)² ⇒ ba²b(ba)²	[2]

# ab:aabbaba=bbbb a/b - -
bbbb=aabbaba
aabbabab=baabbaba

1 unique, 1 total

Σ	#	Presentation	Properties
11	3690	⟨a, b \| aabbbbbaba=b⟩	Can Inf