finite classical group
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2013 ◽  
Vol 20 (01) ◽  
pp. 163-168
Author(s):  
Xueling Song ◽  
Yanjun Liu

Let G be a finite classical group of characteristic p. In this paper, we give an arithmetic criterion of the primes r ≠ p, for which the Steinberg character lies in the principal r-block of G. The arithmetic criterion is obtained from some combinatorial objects (the so-called partition and symbol).


2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Xuemei Liu

In the paper titled “Lattices generated by two orbits of subspaces under finite classical group” by Wang and Guo. The subspaces in the lattices are characterized and the geometricity is classified. In this paper, the result above is generalized to singular symplectic space. This paper characterizes the subspaces in these lattices, classifies their geometricity, and computes their characteristic polynomials.


2009 ◽  
Vol 08 (03) ◽  
pp. 413-451
Author(s):  
L. DI MARTINO ◽  
M. A. PELLEGRINI ◽  
TH. WEIGEL

In this paper we prove that the (non-trivial) irreducible complex unipotent characters of a finite classical group G of type Bm or Cm in odd characteristic are reducible over any proper subgroup of G, apart from very few notable exceptions.


1997 ◽  
Vol 29 (2) ◽  
pp. 159-164
Author(s):  
Martin W. Liebeck ◽  
Chris Wayman Purvis

1990 ◽  
Vol 36 (1) ◽  
Author(s):  
WilliamM. Kantor ◽  
Alexander Lubotzky

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