#3633 ⟨a, b | aabbaabaab=a⟩

Properties

Sum of relation sides is 11
Infinite non-cancellative non-commutative monoid
Element a has infinite order
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ab²(a²b)² = a and a ⋅ 1 = a, however ab²(a²b)² ≠ 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

# ab:aabbaabaab=a ba - -
aaabab=aabbaa
aabbaaba=abaabaab
aaabaabab=abaabaaba
abaabaabab=a