By A. Barlotti

ISBN-10: 0444863842

ISBN-13: 9780444863843

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**Example text**

L e t K be a k-set of k i n d (m,n) o f PG(r,q), w i t h 2

The l i n e y = O ifand o n l y i f i t i s & > h/2, w h i l e i f it i s a

And class [ N1,N2]At1 , K # 0, GrYdyq, o f type (M)r-d r,d,q r = 2 d t 1 and K i s o f type (M)Atl, o r r > d K i s a k-set on then e i t h e r and K i s o f type (N1,N2)At1, moreover, i f e i t h e r N1 0 where or G t 1 N1, N2 and M s a t i s f y : H2 = 8 dtl ’ then e i t h e r Next we prove: Proposition X I V . When r i s even, no k-set o f types (M)r-l Consequently, no k-set o f types (M)r-l r,l ,q w i t h r even. Gr,l,q on G Proof. 18) and (0,N); exists and (N, a2); e x i s t s on Suppose, on the contrary, t h a t such a s e t K e x i s t s .

### Combinatorial and Geometric Structures and Their Applications by A. Barlotti

by Thomas

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