ON THE BLOCK ALGEBRAS HAVING ONLY ONE IRREDUCIBLE MODULE
Citation：
Zhang Guangxiang.ON THE BLOCK ALGEBRAS HAVING ONLY ONE IRREDUCIBLE MODULE[J].Chinese Annals of Mathematics B,1993,14(2):209~212
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Authors：
Zhang Guangxiang;
Abstract：
The following result is proved: Let B be a block ideal of group algebra kG over a splitting field k with characteristic p. Suppose that B has only one irreducible module L and abelian defect group D, then $\[B \simeq Ma{t_m}(kD)\]$,Where $m=Dim_kL$. This result generalizes Kukhammer's theorem concerning the structure of block algebras with inertial indel 1.
