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Some Results About the Quillen Complex ofSp2n(q)

✍ Scribed by Kaustuv Mukul Das

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
284 KB
Volume
209
Category
Article
ISSN
0021-8693

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✦ Synopsis

The structure of the Quillen complex of Sp q at p, denoted A A Sp q , is 2 n p2 n known when p is the characteristic prime. In this paper it is shown that if

It is also shown that the order complex of proper, nondegenerate subspaces of a 2 n-dimensional symplectic space over ‫ކ‬ ᎏordered by inclusionᎏis Cohen᎐ q Ž . Macaulay of dimension n y 2 if q / 2.

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