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Certain relations between p-regular class sizes and the p-structure of p-solvable groups (2004).
| Content Provider | CiteSeerX |
|---|---|
| Author | Beltran, Antonio Felipe, Maria Jose |
| Abstract | Let G be a finite p-solvable group for a fixed prime p. We study how certain arithmetical conditions on the set of p-regular conjugacy class sizes of G influence the p-structure of G. In particular, the structure of the p-complements of G is described when this set is f1;m; ng for arbitrary coprime integersm; n> 1. The structure of G is determined when the noncentral p-regular class lengths are consecutive numbers and when all of them are prime powers. |
| File Format | |
| Journal | J. AUST. MATH. SOC. |
| Volume Number | 77 |
| Publisher Date | 2004-01-01 |
| Access Restriction | Open |
| Subject Keyword | Arbitrary Coprime Integersm Consecutive Number Mathematics Subject Classification Finite P-solvable Group Prime Power Noncentral P-regular Class Length P-regular Conjugacy Class Size Certain Arithmetical Condition Fixed Prime |
| Content Type | Text |
