Fried Chicken Sandwiches with Spicy Slaw

INGREDIENTS

• 2 cups finely shredded red and/or green cabbage
• 1 medium carrot, coarsely shredded
• 1/4 cup fresh mint leaves, coarsely chopped
• 1/4 cup fresh cilantro leaves, coarsely chopped
• 1/2 teaspoon minced serrano chile
• 1 1/2 tablespoons fresh lime juice
• 1 1/2 tablespoons olive oil
• About 2 1/2 teaspoons kosher salt
• 1 cup all-purpose flour
• 1/3 cup yellow cornmeal
• 1 teaspoon cayenne
• 1 cup buttermilk
• 1 large egg
• 1 1/2 pounds boned, skinned chicken breasts, rinsed, dried, and cut at an angle across grain into 1-in.-thick strips
• Vegetable oil for frying
• 6 long, soft sandwich rolls, split
• Mayonnaise