๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Quillen Complex of Groups of Symplectic Type: The Characteristic 2 Case

โœ Scribed by Kaustuv Mukul Das

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
81 KB
Volume
223
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

S where S = /p n * T is of symplectic type with T an extraspecial p-group and O p G solvable. From results in [3] it is easy to show that when p is odd, the Quillen complex of G at p is Cohen-Macaulay. In this note we show that the result also holds when p = 2.

๐Ÿ“œ SIMILAR VOLUMES

On the Irreducible Characters of a Sylow
On the Irreducible Characters of a Sylow 2-Subgroup of the Finite Symplectic Group in Characteristic 2
โœ Rod Gow; Martin Marjoram; Andrea Previtali ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 124 KB

We show that if P is a Sylow 2-subgroup of the finite symplectic group m ลฝ . ## Sp q , where q is a power of 2, then P has irreducible complex characters of 2 m m yt mลฝ my1.r2 w x degree 2 q , where t is any integer satisfying 0 F t F mr2 , and that q mลฝ my1.r2 is the largest possible degree of a

Dade's Inductive Conjecture for the Ree
Dade's Inductive Conjecture for the Ree Groups of Type G2 in the Defining Characteristic
โœ Charles W. Eaton ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

We verify the inductive form of Dade's conjecture for the finite simple groups 2 G 2 3 2m+1 , where m is a positive integer, for the prime p = 3. Together with work by J. An (1994, Indian J. Math. 36, 7-27) this completes the verification of the conjecture for this series of groups.

On the Generation of Some Dual Polar Spa
On the Generation of Some Dual Polar Spaces of Symplectic Type OverGF(2)
โœ B.N. Cooperstein ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

It is demonstrated that the dual polar space of type Sp(2n, 2) can be generated as a geometry by 3 points when n = 4 and 5. In the latter case this affirmatively resolves a conjecture of Brouwer that the dimension of the universal projective embedding of this geometry is ฮป(5).