6533b828fe1ef96bd1288646
RESEARCH PRODUCT
Bounds on the number of maximal subgroups of finite groups
Ramon Esteban-romeroAdolfo Ballester-bolinchesPaz Jiménez-seralsubject
Mathematics (miscellaneous)Applied MathematicsFOS: MathematicsGroup Theory (math.GR)20P05 20E07 20E28MatemàticaMathematics - Group Theorydescription
In this paper we obtain significant bounds for the number of maximal subgroups of a given index of a finite group. These results allow us to give new bounds for the number of random generators needed to generate a finite $d$-generated group with high probability.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2023-01-01 |