From The Collaborative International Dictionary of English v.0.48 [gcide]:
genie \ge"nie\, g'enie \g['e]`nie\(j[=e]"n[=e]), n. [F.]
1. Same as Genius[1].
[1913 Webster]
2. (Islamic mythology) Same as jinnee.
[PJC]
3. (Fairy tales) A fabulous spirit having special powers,
often appearing in human form, which, when summoned by a
person, is required to perform the commands of the
summoner. It is based on the mythological jinnee; the
prototype is the genie residing in an oil lamp, summoned
by Aladdin.
[PJC]
From The Collaborative International Dictionary of English v.0.48 [gcide]:
Jinnee \Jin"nee\, Jinni \Jin"ni\(j[i^]n"n[=e]), n.; pl. Jinn
(j[i^]n). [Ar.] (Arabian & Mohammedan Myth.)
A genius or demon; one of the fabled genii, good and evil
spirits, supposed to be the children of fire, and to have the
power of assuming various forms. [Written also djinnee,
genie, etc.]
Syn: jinn; jin; djinn.
[1913 Webster]
Note: Jinn is also used as sing., with pl. jinns.
[1913 Webster]
From WordNet (r) 3.0 (2006) [wn]:
genie
n 1: (Islam) an invisible spirit mentioned in the Koran and
believed by Muslims to inhabit the earth and influence
mankind by appearing in the form of humans or animals [syn:
genie, jinni, jinnee, djinni, djinny, djinn]