List of Publications

1. J. Sonn and H. Zassenhaus, On the theorem on the primitive element, Amer. Math. Monthly 74 (1967) 407-410
2. 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
3. J. Sonn, On the embedding problem for non-solvable Galois groups of algebraic number fields: reduction theorems, J. Number Theory 4  (1972) 411-436
4. J. Sonn, Localizability of the embedding problem with symplectic kernel, J. Number Theory  6 (1974) 138-157
5. J. Sonn, Epimorphisms of Demushkin groups, Israel J. Math. 17 (1974) 176-190
6. J. Shapiro and J. Sonn, Free factor groups of one-relator groups, Duke Math. J. 41 (1974) 83- 8
7. J. Sonn, Alternating forms and one-relator groups, AMS Proc. 46 (1974) 15-20
8. J. Sonn, Groups that are the union of finitely many subgroups, Amer. Math. Monthly 83 (1976) 263-265
9. J. Sonn, Galois groups of global fields of finite characteristic, J. Alg. 43 (1976) 606-618
10. J. Sonn, Frobenius Galois groups over quadratic fields, Israel J. Math. 31 (1978) 91-96
11. J. Sonn, Class groups and Brauer groups, Israel J. Math. 34 (1979) 97-105
12. B. Fein, M. Schacher and J. Sonn, Brauer groups of rational function fields, AMS Bull. (New Series) 1 (1979) 766-768
13. J. Sonn, SL(2,5) and Frobenius Galois groups over Q, Can. J. Math. 32 (1980) 281-293
14. J. Sonn, Rational division algebras as solvable crossed products, Israel J. Math. 37 (1980) 246-250
15. D. Chillag and J. Sonn, Sylow-metacyclic groups and Q -admissibility, Israel J. Math. 40 (1981) 307-323
16. J. Sonn, Direct summands of class groups, J. Number Theory 17 (1983) 343-349
17. J. Sonn, Q -admissibility of solvable groups, J. Algebra 84 (1983) 411-419
18. J. Sonn, Nonabelian counterexamples to the Noether problem, Proc. AMS 93 (1985) 225-226
19. J. Sonn, On equivalence of number fields, Israel J. Math. 52 (1985) 239-244
20. B. Fein, M. Schacher and J. Sonn, Brauer groups of fields of genus zero, J. Algebra 114 (1988) 479-483
21. J. Sonn, Double covers of $S_5$ and Frobenius groups as Galois groups over number fields, J. Algebra 114 (1988) 401-410
22. M. Schacher and J. Sonn, Double covers of the symmetric groups as Galois groups over number fields, J. Algebra 116 (1988) 243-250
23. 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
24. J. Arason, B. Fein, M. Schacher and J. Sonn, Cyclic extensions of $K(\sqrt{-1})$, Trans. AMS 313 (1989) 843-851
25. D. Kotlar, M. Schacher and J. Sonn, Central extensions of symmetric groups as Galois groups, J. Algebra 124 (1989) 183-198
26. J. Sonn, Central extensions of $S_n$ as Galois groups via trinomials, J. Algebra 125 (1989) 320-330
27. J. Sonn, Groups of small order as Galois groups over Q, Rocky Mountain J. Math. 19 (1989) 947-956
28. J. Sonn, On Brauer groups and embedding problems over function fields, J. Algebra 131 (1990) 631-640
29. J. Sonn, Central extensions of $S_n$ as Galois groups of regular extensions of  Q, J. Algebra 140, no. 2 (1991) 355-359
30. M. Schacher and J. Sonn, K-admissibility of $A_6$ and  $A_7$,  J.Algebra 145 (1992) 333-338
31. E. Aljadeff and J. Sonn, Projective Schur division algebras are abelian crossed products, J. Algebra 163 (1994) 795-805
32. J. Sonn, Brauer groups, embedding problems, and nilpotent groups as Galois groups, Israel J. Math. 85 (1994) 391-405
33. J. Sonn, Rigidity and embedding problems over ${Bbb Q}_{ab}(t)$, J. Number Theory {\bf 47} (1994) 398-404
34. E. Aljadeff and J. Sonn, Projective Schur algebras have abelian splitting fields, J. Algebra 175 (1995) 179-187
35. S. Liedahl and J. Sonn, K-admissibility of metacyclic 2-groups, Contemp. Math. 186 (1995) 65-73
36. E. Aljadeff and J. Sonn, On the projective Schur group of a field, J. Algebra 178 (1995) 530-540
37. 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
38. E. Aljadeff and J. Sonn, Bounds on orders of finite subgroups of PGL(n,K), J. Alg. 210 (1998) 352-360
39. R. Meshulam and J. Sonn, A quantitative version of a lemma of Shafarevich-Ishkhanov, Comm. Alg. 27 (1999) 1255-1259
40. 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
41. E. Aljadeff and J. Sonn, Exponent reduction for radical abelian algebras,  J. Alg.  223 (2000) 527-534
42. J. Sonn, Free pro-p groups as Galois groups over ${Bbb Q}(p)(t)$, Israel J. Math. 119 (2000) 1-8
43. E. Aljadeff and J. Sonn, Exponent reduction for projective Schur algebras, J. Alg. 239 (2001) 356-364
44. E. Aljadeff and J. Sonn, Relative Brauer groups and m-torsion, Proc. AMS 130 (2002) 1333-1337
45. J. Cohen and J. Sonn, On the Ono invariants of imaginary quadratic fields, J. Number Theory 95 (2002) 259-267
46. E. Aljadeff and J. Sonn, Fields for which the projective Schur subgroup is the whole Brauer group, Israel J. Math. 131 (2002) 375–379
47. E. Aljadeff and J. Sonn, Projective Schur groups of iterated power series fields, J. Pure Appl. Alg. 182 (2003) 109-117
48. 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
49. J. Sonn and J. Swallow, Brauer groups of genus zero extensions of number fields, Trans. AMS 357 (2005) 2723-2738
50. B. Guralnick, M. Schacher, and J. Sonn, Irreducible polynomials that are locally reducible everywhere, Proc. AMS  133 (2005)  3171–3177
51. H. Kisilevsky and J. Sonn, Abelian extensions of global fields with constant local degrees, Math. Research Letters 13, no. 4 (2006) 599-605
52. E. Aljadeff, J. Sonn and A. Wadsworth, Projective Schur groups of Henselian fields, J. Pure Applied Alg. 208 no. 3 (2007) 833-851
53. 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
54. J. Sonn, Polynomials with roots in ${\Bbb Q}_p(t)$ for all p, Proc. AMS 136 (2008) 1955-1960.
55. J. Sonn, Two remarks on the inverse Galois problem for intersective polynomials, J. Th. Nombres de Bordeaux, 21  (2009) 437-439
56. H. Kisilevsky and J. Sonn, On the minimal ramification problem for $ell$-groups, Compositio Math.  146 (2010) 599-606
57. 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)
58. 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
59. Daniel Rabayev and Jack Sonn, On Galois realizations of the 2-coverable symmetric and alternating groups,  Comm. Alg. 42 no. 1 (2014) 253-258
60. Timo Hanke, Danny Neftin and Jack Sonn,   Noncrossed product bounds over Henselian fields, Algebra and Number theory  8 (2014) 837-855
61. 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
62. Vsevolod Lev and Jack Sonn, Quadratic residues and difference sets modulo p,  Quart. J. Math. Oxford  (2016)
63. Daniela Bubboloni and Jack Sonn,  Intersective$S_n$ polynomials with few irreducible factors,  Manuscripta Math. 151 no. 3 (2016) 477-492
64. Joachim Koenig, Daniel Rabayev and Jack Sonn, Galois realizations with inertia groups of order two,  International J. Number Th. (to appear)
65. Joachim Koenig, Danny Neftin and Jack Sonn, Unramified extensions over low degree number fields. J. Number Theory (to appear)