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Restriction Between Cohomology Algebras of Blocks of Finite Groups

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Constantin Cosmin, Todea

Editorial: Algebras and Representation Theory, Volume 14, Number 4, p.731-749, 2011.


Let k be an algebraically closed field of characteristic p and G be a finite group. Let N be a normal subgroup of G and c be a G-stable block of kN. We shall discuss the cohomology algebra of the block c, defined by M. Linckelmann and, in this case a generalized block cohomology which can be defined using some generalized Brauer pairs, denoted (c, G)-Brauer pairs, which are introduced by R. Kessar and R. Stancu. We also analyze the restriction map between these two cohomology algebras associated to the block c through transfer maps between the Hochschild cohomology algebras of kGc and of the block c.

Cuvinte cheie: Finite group ,Block, Group cohomology , Restriction, Hochschild cohomology , Variety