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Building on reduction theorems and dimension bounds for symmetric groupsobtained in our earlier work, we classify the irreducible restrictions ofrepresentations of the symmetric and alternating groups to proper subgroups.Such classification is known when the characteristic of the ground field isgreater than $3$, but the small characteristics cases require a substantiallymore delicate analysis and new ideas. Our results fit into the Aschbacher-Scottprogram on maximal subgroups of finite classical groups.

Irreducible restrictions of representations of symmetric and alternating groups in small characteristics