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Paper IPM / M / 61  


Abstract:  
Let q be a power of the prime number p and n be a natural number. If A ∈ GL_{n}(q), then θ(A)=(A^{t})^{−1} is an outer automorphism of GL_{n}(q) if (n,q) ≠ (2,2); where A^{t} denotes the transpose of the matrix A. In this case we set G^{+}=GL_{n}(q). < θ > and our aim in this paper is to find the conjugacy classes of elements of order 2 and 4 in G^{+}−GL_{n}(q).
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