Kourovka Problem 19.25: Order and totient sum do not determine simplicity
- Mathematics
A simple group and a non-simple group both have order 6048 and totient sum 23984, disproving the proposed simplicity test in Problem 19.25.
Kourovka Problem 19.25: Order and totient sum do not determine simplicity
- Mathematics
A simple group and a non-simple group both have order 6048 and totient sum 23984, disproving the proposed simplicity test in Problem 19.25.
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Read the background
A simple group and a non-simple group both have order 6048 and totient sum 23984, disproving the proposed simplicity test in Problem 19.25.
Why it matters
An explicit counterexample settles the narrower invariant question.
What counts as progress
A specific group theory result with documented AI mathematical work, a stated prior baseline and a checkable source.
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Kourovka Problem 19.25: Order and totient sum do not determine simplicity