#2288 ⟨a, b | aabbbba=bab⟩

Properties

Sum of relation sides is 10
Infinite cancellative non-commutative monoid
Element a has infinite order
Submonoid of enveloping group: ⟨a, b | aaaabab^-1abb⟩
- Anti-isomorphic embedding: φ(a) = aabaa, 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.	a²b⁴a ⇒ bab	[1]
2.	a²b⁵ab ⇒ (ba)²b⁴a	[2]

# ab:aabbbba=bab ba - -
aabbbba=bab
aabbbbbab=bababbbba

1 unique, 1 total

Σ	#	Presentation	Properties
10	1754	⟨a, b \| abaaaabba=b⟩	Can Inf