Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  provide a combinatorial approach to the largest por of p in the number of permutations @p with @p^p=1, for a fixed prime number p. With this approach,  find the largest por of 2 in the number of involutions, in the signed sum of involutions and in the numbers of even or odd involutions.
['Dongsu Kim', 'Jang Soo Kim']
I am writing a research paper on a idea A combinatorial approach to the power of 2 in the number of involutions
[{"from": "human", "value": "I am writing a research paper on a idea A combinatorial approach to the power of 2 in the number of involutions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  provide a combinatorial approach to the largest por of p in the number of permutations @p with @p^p=1, for a fixed prime number p. With this approach,  find the largest por of 2 in the number of involutions, in the signed sum of involutions and in the numbers of even or odd involutions."}]