Maximal ideals in modular group algebras of the finitary symmetric and alternating groups

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Maximal Ideals in Modular Group Algebras of the Finitary Symmetric and Alternating Groups

The main result of the paper is a description of the maximal ideals in the modular group algebras of the finitary symmetric and alternating groups (provided the characteristic p of the ground field is greater than 2). For the symmetric group there are exactly p − 1 such ideals and for the alternating group there are (p − 1)/2 of them. The description is obtained in terms of the annihilators of ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1999

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-99-02003-6