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Certain relations between p-regular class sizes and the p-structure of p-solvable groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Beltrán, Antonio Felipe, María José |
| Copyright Year | 2004 |
| 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 integers m; 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. |
| Starting Page | 387 |
| Ending Page | 400 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S144678870001452X |
| Alternate Webpage(s) | https://www.austms.org.au/Publ/JAustMS/V77P3/pdf/r60.pdf |
| Alternate Webpage(s) | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/771835D1054C2CE62315BAA13D6A43FD/S144678870001452Xa.pdf/certain_relations_between_pregular_class_sizes_and_the_pstructure_of_psolvable_groups.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S144678870001452X |
| Volume Number | 77 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
