On a Conjecture of Zassenhaus on Torsion Units in Integral Group Rings.
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Jürgen Ritter, Sudarshan K. Sehgal (1983)
Mathematische Annalen
Ladislav Skula (1979)
Archivum Mathematicum
Olympia Talelli (1979)
Mathematische Zeitschrift
Balogh, Zsolt (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Leonid F. Barannyk (2008)
Colloquium Mathematicae
Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.
Shemetkov, L.A. (2003)
Sibirskij Matematicheskij Zhurnal
Leonid F. Barannyk, Kamila Sobolewska (2003)
Colloquium Mathematicae
Let G be a finite group, F a field of characteristic p with p||G|, and the twisted group algebra of the group G and the field F with a 2-cocycle λ ∈ Z²(G,F*). We give necessary and sufficient conditions for to be of finite representation type. We also introduce the concept of projective F-representation type for the group G (finite, infinite, mixed) and we exhibit finite groups of each type.
Trevor Hawkes, J. Cossey, W. Willems (1980)
Mathematische Zeitschrift
L. G. Kovács, Ralph Stöhr (2004)
Rendiconti del Seminario Matematico della Università di Padova
Leonid F. Barannyk, Kamila Sobolewska (2001)
Colloquium Mathematicae
Our aim is to determine necessary and sufficient conditions for a finite nilpotent group to have a faithful irreducible projective representation over a field of characteristic p ≥ 0.
Paul Fong, Morton E. Harris (1993)
Inventiones mathematicae
Andreas W.M. Dress (1975)
Mathematische Zeitschrift
Bauer, Thorsten (1998)
Séminaire Lotharingien de Combinatoire [electronic only]
Dias da Silva, J.A. (1980)
Portugaliae mathematica
Xiaoming Zhou (1991)
Mathematische Zeitschrift
Ryszard L. Rubinsztein (1976)
Steffen Bentzen (1984)
Mathematica Scandinavica
Sudarshan K. Sehgal (1967)
Mathematische Zeitschrift
Czesław Bagiński (1999)
Colloquium Mathematicae
Let G be a finite p-group and let F be the field of p elements. It is shown that if G is elementary abelian-by-cyclic then the isomorphism type of G is determined by FG.
Andrei V. Kelarev (1992)
Commentationes Mathematicae Universitatis Carolinae
All commutative semigroups are described such that the Jacobson radical is homogeneous in each ring graded by .
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