#4588 ⟨a, b | aaabbbba=bbb⟩

Properties

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

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.	a³b⁴a ⇒ b³	[1]
2.	a³b⁷ ⇒ b³a²b⁴a	[2]

# ab:aaabbbba=bbb ba - -
aaabbbba=bbb
aaabbbbbbb=bbbaabbbba

1 unique, 1 total

Σ	#	Presentation	Properties
11	5116	⟨a, b \| aaabbba=bbbb⟩	Can Inf