[If] she was reported in the town [to be] married, she is married; [to be] divorced, she is divorced; as long as there is no qualification. What is a qualification? [If they said:] “So-and-so divorced his wife on a condition” [or] “He threw her kiddushin to her, [and there was] doubt [if] it was close to her or close to him” —- this is a qualification.

Beis Shammai say: A man may not divorce his wife unless he found in her an act of adultery, as it says (Deuteronomy 24:1): Because he found in her an adulterous thing. Beis Hillel say: Even if she burnt his food, as it says: Because he found in her an adulterous thing. R' Akiva says: Even if he found another more beautiful than her, as it says (ibid.): And it comes to pass that she does not find favor in his eyes.