We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
The Existence of p-Blocks of a Finite Group.
- Authors
Qian, Fangsheng
- Abstract
Suppose G is a finite group and D is a normal p-subgroup of G with |D|=pd. Let GP denote the set of p-elements of G and Φ(g)={(a,b) ∈ GP× GP | ab=g}. We show that G has a p-block with D as a defect group if and only if there exists a p-regular element g of G with D as a Sylow p-subgroup of CG(g) such that |Φ(g)| ≠ 0 (mod pd+1).
- Subjects
FINITE groups; BRAUER groups; SYLOW subgroups; GROUP theory; IDEMPOTENTS
- Publication
Algebra Colloquium, 2006, Vol 13, Issue 4, p705
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386706000654