In a large pot, combine the chicken thighs, chicken broth, and half of the chopped onion. Bring to a boil, then reduce heat and simmer for 25 minutes until the chicken is cooked through.
Remove the chicken from the pot and let it cool slightly. Shred the chicken into bite-sized pieces, discarding any bones or skin, then set aside.
In a blender or food processor, combine tomatillos, garlic, jalapeño peppers, cilantro, cumin, oregano, and the remaining chopped onion. Blend until smooth.
Pour the blended mixture into the pot with the chicken broth and stir in the drained hominy. Let it simmer for another 20 minutes to combine flavors, stirring occasionally.
Add the shredded chicken back into the pot and season with salt and pepper to taste. Simmer for an additional 5 minutes until heated through.
Serve the pozole hot in bowls, garnished with lime wedges, sliced radishes, diced avocado, and tortilla chips on the side.