Jürgen Ritter, Emeritus Professor of Mathematics
addressSchnurbeinstraße 14
86391 Deuringen, Germany
phone +49 821 431149
fax +49 821 4339676
office #3041C, Maths Institute
University of Augsburg
86135 Augsburg, Germany
cv
publications 1969-1994
publications and preprints 1995-
Vorlesungsskripte (2001-2008)
recent talks &c.
publications 1969-1994
Zur Kohomologie von Gruppen mit abelschen Sylowuntergruppen,
Ph.D. thesis, Heidelberg (1969);
published in revised and supplemented form in
manusc. math. 3 (1970), 69-95
Ein Induktionssatz für rationale Charaktere von nilpotenten Gruppen;
Crelle J. 254 (1972), 133-151
Bemerkungen zu den Frobeniusoperatoren Ψn des Charakterringes RkG einer endlichen Gruppe G;
J. of Algebra 30 (1974), 355-367
Darstellungen endlicher Gruppen über Zahlkörpern,
habilitation thesis, Heidelberg (1975);
the main part of the paper is contained in
‘Über eine Erweiterung der Wittschen Reduktion bei der Bestimmung von Schurindizes von endlichen Gruppen über lokalen Körpern’;
Archiv der Math. 29 (1977), 78-92
On the characterisation of local fields by their absolute Galois groups (with M. Jarden);
J. of Number Th. 11 (1979), 1-13
p-adic fields having the same type of algebraic extensions;
Math. Annalen 238 (1978), 281-288
Normal automorphisms of absolute Galois groups of p-adic fields (with M. Jarden);
Duke Math. J. 47 (1980), 47-56
Group rings of metabelian groups (with S.K. Sehgal);
Communications in Algebra 8 (1980), 941-951
The class group à la Fröhlich;
Springer LNM 882 (1981), 174-190
Integral group rings of some p-goups (with S.K. Sehgal);
Canadian J. of Math. 34 (1982), 233-246
On orthogonal and orthonormal characters;
J. of Algebra 76 (1982), 519-531
On irreducible tame representations of the absolute Galois group of a local field K and symplectic-type extensions of K (with M. Jarden);
Illinois J. of Math. 27 (1983), 14-30
Isomorphisms of group rings (with S.K. Sehgal);
Archiv der Math. 40 (1983), 32-39
On a conjecture of Zassenhaus on torsion units in integral group rings (with S.K. Sehgal);
Math. Annalen 264 (1983), 257-270
Local p-dimensional Galois characters;
Séminaire de Théorie des Nombres de Bordeaux. Année 1984-1985, exposé no.1, 1-01 — 1-29
On a conjecture of Zassenhaus on torsion units in integral group rings II (with C. Polcino Milies and S.K. Sehgal);
Proc. AMS 97 (1986), 201-206
Torsion units in integral group rings of some metabelian groups II (with Z. Marciniak, S.K. Sehgal and A. Weiss);
J. of Number Th. 25 (1987), 340-352
An explicit Brauer formula for local Galois characters
[Dedicated to Professor A. Fröhlich on his 70th birthday];
Crelle J. 375/376 (1987), 83-103
Logarithms and units in p-adic abelian group rings (with K. Hoechsmann);
Archiv der Math. 49 (1987), 23-28
Certain normal subgroups of units in group rings (with S.K. Sehgal)
[Dedicated to the memory of Irving Reiner];
Crelle J. 381 (1987), 214-220
Subnormal subgroups in U(ZG) (with J. Gonçalves and S.K. Sehgal);
Proc. AMS 103 (1988), 375-382
Generators of subgroups of U(ZG) (with S.K. Sehgal);
Contemporary Math. 93 (1989), 331-347
Construction of units in integral group rings of finite nilpotent groups (with S.K. Sehgal);
Trans. AMS 324 (1991), 603-621
(Research Announcement in Bull. AMS 20 (1989), 165-168)
Constructible units in abelian p-group rings (with K. Hoechsmann);
J. Pure and Appl. Algebra 68 (1990), 325-339
Integral group rings with trivial central units (with S.K. Sehgal);
Proc. AMS 108 (1990), 327-329
Large subgroups in the unit group of group rings (a survey);
Bayreuther Math. Schriften 33 (1990), 153-171
Construction of units in group rings of monomial and symmetric groups (with S.K. Sehgal);
J. of Algebra 142 (1991), 511-526
The Frattini subgroup of the absolute Galois group of a local field (with M. Jarden);
Israel J. of Math. 74 (1991), 81-90
The Artin-Hasse power series and p-adic group rings (with K. Hoechsmann);
J. of Number Th. 39 (1991), 117-128
Units of group rings of solvable and Frobenius groups over large rings of cyclotomic integers (with S.K. Sehgal);
J. of Algebra 158 (1993), 116-129
Galois action on integral representations (with A. Weiss);
Journal of the LMS 46 (1992), 411-431
Group representations and integrality (with G. Cliff and A. Weiss);
Crelle J. 426 (1992), 193-202
Regulators and Galois Stability (with A. Weiss)
[Dedicated to Professor Helmut Koch on his 60th birthday];
Math. Nachr. 158 (1992), 27-41
Character multiplicities and Schur indices;
Akademie gemeinnütziger Wissenschaften zu Erfurt, Mathematisch-Naturwissenschaftliche Klasse, Sitzungsberichte 4 (1992), 43-52
On the local Galois structure of S-units (with A. Weiss);
‘Algebra and Number Theory’, Proceedings of a Conference held at the Institute for Experimental Mathematics, University of Essen, Germany, December 2-4, 1992 (eds. G. Frey, J. Ritter), de Gruyter Proceedings in Mathematics (1994), 229-245