摘要
A metacyclic group H can be presented as aOE (c)alpha,beta: alpha (n) = 1, beta (m) = alpha (t) , beta alpha beta (-1) = alpha (r) > for some n, m, t, r. Each endomorphism sigma of H is determined by for some integers x (1), x (2), y (1), y (2). We give sufficient and necessary conditions on x (1), x (2), y (1), y (2) for sigma to be an automorphism.