Murray, John (1999) Blocks of Defect Zero and Products of Elements of Order p. Journal of Algebra, 214 (2). pp. 385399. ISSN 00218693
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Abstract
Suppose that G is a finite group and that F is a field of characteristic p)0 which is a splitting field for all subgroups of G. Let e0 be the sum of the block idempotents of defect zero in FG, and let V be the set of solutions to g ps1 in G. We show that e0sVq. 2, when p is odd, and e0sVq. 3, when ps2. In the latter case Vq. 2sRq, where R is the set of real elements of 2defect zero. So e0sVqRqsRq. 2. We also show that e0sVqVq4sVq4 . 2, when ps2, where V4 is the set of solutions to g 4s1. These results give us various criteria for the existence of pblocks of defect zero.
Item Type:  Article 

Keywords:  Defect Zero; Products of Elements; Order p; 
Academic Unit:  Faculty of Science and Engineering > Mathematics and Statistics 
Item ID:  2037 
Depositing User:  Dr. John Murray 
Date Deposited:  06 Jul 2010 14:53 
Journal or Publication Title:  Journal of Algebra 
Publisher:  Elsevier 
Refereed:  No 
URI:  
Use Licence:  This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BYNCSA). Details of this licence are available here 
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