In number theory, Mazur's control theorem, introduced by Mazur (1972), describes the behavior in Zp extensions of the Selmer group of an abelian variety over a number field.
References Mazur, Barry (1972), "Rational points of abelian varieties with values in towers of number fields", Inventiones Mathematicae, 18 (3–4): 183–266, Bibcode:1972InMat..18..183M, doi:10.1007/BF01389815, ISSN 0020-9910, MR 0444670, S2CID 121009489