Smith equivalence and finite Oliver groups with Laitinen number 0 or 1.

Pawałowski, Krzysztof; Solomon, Ronald

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This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.