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Acta Mathematica Vietnamica

ON CERTAIN STABLE WEDGE SUMMANDS OF B(Z/p)+n

icon-email NGUYEN GIA DINH

Abstract

By using representation theory and explicit idempotents in the group ring Fp[GLn(Z/p)], we give a new splitting of B(Z/p)+n into p1 stable wedge summands in which the numbers of occurrences of the indecomposable stable wedge summands are known. As a consequence, we find an information on the Cartan matrices of Fp[GLn(Z/p)] and Fp[Mn(Z/p)]. Moreover we point out the occurrence of some index-composable stable wedge summands of B(Z/p)+n in the Campbell-Selick summands.