Morita Equivalent 3-Blocks of the 3-Dimensional Projective Special Linear Groups |
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| Authors: | Kunugi Naoko |
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| Institution: | Department of Mathematics, Graduate School of Science and Technology, Chiba University Yayoi-cho Inage-ku Chiba-city 263-8522, Japan, mkunugi{at}g.math.s.chiba-u.ac.jp |
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| Abstract: | If G is a projective special linear group PSL(3,q) with q  4or 7 (mod 9), then a Sylow 3-subgroup of G is elementary abelianof order 9. We show that the principal 3-blocks of any two suchgroups are Morita equivalent. This result and Okuyama's theoremfor PSL(3,4) prove the Broué conjecture for these blocks.1991 Mathematics Subject Classification: 20C05, 20C20. |
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