It sounds like the pups are not actually pups, but rather new growth. They are coming out of the top of the wide, rounded base (the caudex) of the plant, correct? Pups would be emerging from where the base touches the soil.
If the skinny part of the plant (the 鈥渟tem鈥 or 鈥渢runk鈥) is damaged by cold or rot, the plant may die back to the base, where new growth sprouts from.
If this sounds like what’s happened to yours, then you can cut off the dead stem just above the base and the new growth won’t be affected.
It sounds like the pups are not actually pups, but rather new growth. They are coming out of the top of the wide, rounded base (the caudex) of the plant, correct? Pups would be emerging from where the base touches the soil.
If the skinny part of the plant (the 鈥渟tem鈥 or 鈥渢runk鈥) is damaged by cold or rot, the plant may die back to the base, where new growth sprouts from.
If this sounds like what’s happened to yours, then you can cut off the dead stem just above the base and the new growth won’t be affected.