The paper confirms the Medvedoff-Morrison conjecture for all k>n, for (ℓ^e, ℓ^f) with e not dividing f and k≠4, and for k=2^e≥4 with n not a power of 2, showing the shuffle group is the full alternating or symmetric group.
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Generalised shuffle groups
The paper confirms the Medvedoff-Morrison conjecture for all k>n, for (ℓ^e, ℓ^f) with e not dividing f and k≠4, and for k=2^e≥4 with n not a power of 2, showing the shuffle group is the full alternating or symmetric group.