Abstract
Burnside’s lemma on characters of finite groups is generalized, leading to the following theorem: if G is a simple group of order divisible by exactly 3 primes, and if one of the Sylow subgroups of G is cyclic, then for each Sylow subgroup P of G we have CG(P) =Z(P).
Original language | English |
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Pages (from-to) | 379-380 |
Number of pages | 2 |
Journal | Proceedings of the American Mathematical Society |
Volume | 28 |
Issue number | 2 |
DOIs | |
State | Published - May 1971 |
Keywords
- Conjugate class
- Finite group
- Ordinary irreducible character
- Simple group