Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: grupy skończone

Sortuj według:

Ogranicz wyniki do:

Indecomposable projective representations of direct products of finite groups over a ring of formal power series

Barannyk L. F.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2010

Vol. 15

9--24

Let F be a field of characteristic p > O, S = F[[X]] the ring of formal power series in the indeterminate X with coefficients in the field F, F* the multiplicative group of F, G = Gp x B a finite group, where Gp is a p-group and B is a p'-group. We give necessary and sufficient conditions for G and F under which there exists a cocycle λ ∈ Z2 (G, F*) such that every indecomposable projective 5-representation of G with the cocycle λ is the outer tensor product of an indecomposable projective 5-representation of Gp and an irreducible projective 5-representation of B.

The projective representations types of finite groups over a ring of formal power series

Klein D.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2009

Vol. 14

63-73

Let F be a field of characteristic p >0,S=F[[X]],S∗ the unit group of S, and W a subgroup of S ∗. We characterize finite groups depending on a projective (S,W)-representation type. We also give necessary and sufficient conditions for a finite group and its Sylow p-subgroups to be of the same projective (S,W) -representation type.