6533b825fe1ef96bd1282676

RESEARCH PRODUCT

Number of Sylow subgroups in $p$-solvable groups

Gabriel Navarro

subject

CombinatoricsFinite groupComplement (group theory)Solvable groupGroup (mathematics)Applied MathematicsGeneral MathematicsSylow theoremsPrime numberMathematics

description

If G is a finite group and p is a prime number, let vp(G) be the number of Sylow p-subgroups of G. If H is a subgroup of a p-solvable group G, we prove that v p (H) divides v p (G).

https://doi.org/10.1090/s0002-9939-03-06884-9