List of Publications
- J. Sonn and H. Zassenhaus, On the theorem on the primitive element, Amer. Math. Monthly 74 (1967) 407-410
- J. Sonn, On the embedding problem for non-solvable Galois groups of algebraic number fields: reduction theorems, Bull. Amer. Math. Soc. 58 (1972) 553-557
- J. Sonn, On the embedding problem for non-solvable Galois groups of algebraic number fields: reduction theorems, J. Number Theory 4 (1972) 411-436
- J. Sonn, Localizability of the embedding problem with symplectic kernel, J. Number Theory 6 (1974) 138-157
- J. Sonn, Epimorphisms of Demushkin groups, Israel J. Math. 17 (1974) 176-190
- J. Shapiro and J. Sonn, Free factor groups of one-relator groups, Duke Math. J. 41 (1974) 83- 8
- J. Sonn, Alternating forms and one-relator groups, AMS Proc. 46 (1974) 15-20
- J. Sonn, Groups that are the union of finitely many subgroups, Amer. Math. Monthly 83 (1976) 263-265
- J. Sonn, Galois groups of global fields of finite characteristic, J. Alg. 43 (1976) 606-618
- J. Sonn, Frobenius Galois groups over quadratic fields, Israel J. Math. 31 (1978) 91-96
- J. Sonn, Class groups and Brauer groups, Israel J. Math. 34 (1979) 97-105
- B. Fein, M. Schacher and J. Sonn, Brauer groups of rational function fields, AMS Bull. (New Series) 1 (1979) 766-768
- J. Sonn, SL(2,5) and Frobenius Galois groups over Q, Can. J. Math. 32 (1980) 281-293
- J. Sonn, Rational division algebras as solvable crossed products, Israel J. Math. 37 (1980) 246-250
- D. Chillag and J. Sonn, Sylow-metacyclic groups and Q -admissibility, Israel J. Math. 40 (1981) 307-323
- J. Sonn, Direct summands of class groups, J. Number Theory 17 (1983) 343-349
- J. Sonn, Q -admissibility of solvable groups, J. Algebra 84 (1983) 411-419
- J. Sonn, Nonabelian counterexamples to the Noether problem, Proc. AMS 93 (1985) 225-226
- J. Sonn, On equivalence of number fields, Israel J. Math. 52 (1985) 239-244
- B. Fein, M. Schacher and J. Sonn, Brauer groups of fields of genus zero, J. Algebra 114 (1988) 479-483
- J. Sonn, Double covers of $S_5$ and Frobenius groups as Galois groups over number fields, J. Algebra 114 (1988) 401-410
- M. Schacher and J. Sonn, Double covers of the symmetric groups as Galois groups over number fields, J. Algebra 116 (1988) 243-250
- J. Sonn, Double covers of alternating and symmetric groups as Galois groups over number fields, Bull. Soc. Math. Belgique 40, Ser. A (1988) 297-305
- J. Arason, B. Fein, M. Schacher and J. Sonn, Cyclic extensions of $K(\sqrt{-1})$, Trans. AMS 313 (1989) 843-851
- D. Kotlar, M. Schacher and J. Sonn, Central extensions of symmetric groups as Galois groups, J. Algebra 124 (1989) 183-198
- J. Sonn, Central extensions of $S_n$ as Galois groups via trinomials, J. Algebra 125 (1989) 320-330
- J. Sonn, Groups of small order as Galois groups over Q, Rocky Mountain J. Math. 19 (1989) 947-956
- J. Sonn, On Brauer groups and embedding problems over function fields, J. Algebra 131 (1990) 631-640
- J. Sonn, Central extensions of $S_n$ as Galois groups of regular extensions of Q, J. Algebra 140, no. 2 (1991) 355-359
- M. Schacher and J. Sonn, K-admissibility of $A_6$ and $A_7$, J.Algebra 145 (1992) 333-338
- E. Aljadeff and J. Sonn, Projective Schur division algebras are abelian crossed products, J. Algebra 163 (1994) 795-805
- J. Sonn, Brauer groups, embedding problems, and nilpotent groups as Galois groups, Israel J. Math. 85 (1994) 391-405
- J. Sonn, Rigidity and embedding problems over ${Bbb Q}_{ab}(t)$, J. Number Theory {\bf 47} (1994) 398-404
- E. Aljadeff and J. Sonn, Projective Schur algebras have abelian splitting fields, J. Algebra 175 (1995) 179-187
- S. Liedahl and J. Sonn, K-admissibility of metacyclic 2-groups, Contemp. Math. 186 (1995) 65-73
- E. Aljadeff and J. Sonn, On the projective Schur group of a field, J. Algebra 178 (1995) 530-540
- G. Malle and J. Sonn, Covering groups of almost simple groups as Galois groups over ${Bbb Q}_{ab}(t)$, Israel J. Math. 96 (1996) 431-444
- E. Aljadeff and J. Sonn, Bounds on orders of finite subgroups of PGL(n,K), J. Alg. 210 (1998) 352-360
- R. Meshulam and J. Sonn, A quantitative version of a lemma of Shafarevich-Ishkhanov, Comm. Alg. 27 (1999) 1255-1259
- E. Aljadeff and J. Sonn, Projective Schur algebras of nilpotent type are Brauer equivalent to radical algebras, J. Alg. 220 (1999) no. 2, 401-414
- E. Aljadeff and J. Sonn, Exponent reduction for radical abelian algebras, J. Alg. 223 (2000) 527-534
- J. Sonn, Free pro-p groups as Galois groups over ${Bbb Q}(p)(t)$, Israel J. Math. 119 (2000) 1-8
- E. Aljadeff and J. Sonn, Exponent reduction for projective Schur algebras, J. Alg. 239 (2001) 356-364
- E. Aljadeff and J. Sonn, Relative Brauer groups and m-torsion, Proc. AMS 130 (2002) 1333-1337
- J. Cohen and J. Sonn, On the Ono invariants of imaginary quadratic fields, J. Number Theory 95 (2002) 259-267
- E. Aljadeff and J. Sonn, Fields for which the projective Schur subgroup is the whole Brauer group, Israel J. Math. 131 (2002) 375–379
- E. Aljadeff and J. Sonn, Projective Schur groups of iterated power series fields, J. Pure Appl. Alg. 182 (2003) 109-117
- H. Kisilevsky and J. Sonn, On the n-torsion subgroup of the Brauer group of a number field, J. Theorie des Nombres de Bordeaux, 15 (2003) 199-203
- J. Sonn and J. Swallow, Brauer groups of genus zero extensions of number fields, Trans. AMS 357 (2005) 2723-2738
- B. Guralnick, M. Schacher, and J. Sonn, Irreducible polynomials that are locally reducible everywhere, Proc. AMS 133 (2005) 3171–3177
- H. Kisilevsky and J. Sonn, Abelian extensions of global fields with constant local degrees, Math. Research Letters 13, no. 4 (2006) 599-605
- E. Aljadeff, J. Sonn and A. Wadsworth, Projective Schur groups of Henselian fields, J. Pure Applied Alg. 208 no. 3 (2007) 833-851
- C. Popescu, J. Sonn, and A. Wadsworth, n-torsion of Brauer groups as relative Brauer groups of abelian extensions, J. Number Theory 125 (2007) 26-38
- J. Sonn, Polynomials with roots in ${\Bbb Q}_p(t)$ for all p, Proc. AMS 136 (2008) 1955-1960.
- J. Sonn, Two remarks on the inverse Galois problem for intersective polynomials, J. Th. Nombres de Bordeaux, 21 (2009) 437-439
- H. Kisilevsky and J. Sonn, On the minimal ramification problem for $ell$-groups, Compositio Math. 146 (2010) 599-606
- T. Hanke and J. Sonn, The location of noncrossed products in Brauer groups of Laurent series fields over global fields, Math. Ann. 350, Number 2 (2011) 313-337 (appears in arXiv as Noncrossed products in Witt’s theorem)
- Hershy Kisilevsky, Danny Neftin, and Jack Sonn, On the minimal ramification problem for semiabelian groups, Algebra and Number Theory 4 (2010), No. 8, 1077–1090
- Daniel Rabayev and Jack Sonn, On Galois realizations of the 2-coverable symmetric and alternating groups, Comm. Alg. 42 no. 1 (2014) 253-258
- Timo Hanke, Danny Neftin and Jack Sonn, Noncrossed product bounds over Henselian fields, Algebra and Number theory 8 (2014) 837-855
- Joseph Cohen and Jack Sonn, A cyclotomic generalization of the sequence GCD(a^n-1,b^n-1), J. Th. Nombres de Bordeaux 27 (2015) 53-65
- Vsevolod Lev and Jack Sonn, Quadratic residues and difference sets modulo p, Quart. J. Math. Oxford (2016)
- Daniela Bubboloni and Jack Sonn, Intersective$S_n$ polynomials with few irreducible factors, Manuscripta Math. 151 no. 3 (2016) 477-492
- Joachim Koenig, Daniel Rabayev and Jack Sonn, Galois realizations with inertia groups of order two, International J. Number Th. (to appear)
- Joachim Koenig, Danny Neftin and Jack Sonn, Unramified extensions over low degree number fields. J. Number Theory (to appear)