Moore Geometries ( Part Iv
نویسندگان
چکیده
For the relevant literature and most of the definitions and conventions the reader is referred to [1]. The next section contains an explicit description of the (reduced) characteristic polynomial of L4(s, t), and it is shown that this polynomial admits a decomposition into two closely related factors of degree 2 each. In Section 3 it is first shown that at least one of these factors must be reducible, and as a corollary we obtain that st must be a square if L4(s, t) is feasible. Using this it follows that both factors are reducible, and hence all eigenvalues of L4(s, t) are rational integers in the case of feasibility. Then in Section 4 the feasibility of L4(s, t) is reduced to the solvability of a set of two diophantic equations. It is shown that this set of equations admits no integral solution, and so the main result follows. Let us finally point out the quite unsatisfactory fact that we did not succeed in
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تاریخ انتشار 2002