scholarly journals A characterization of projective special unitary group U3(5) by nse

2014 ◽  
Vol 20 (1) ◽  
pp. 133-140 ◽  
Author(s):  
Shitian Liu
Keyword(s):  
Unitary Group ◽  
Special Unitary Group

scholarly journals A Characterization of Projective Special Unitary Group U3(7) by nse

Algebra ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Shitian Liu
Keyword(s):  
Unitary Group ◽  
Element Orders ◽  
Special Unitary Group ◽  
Set Of Element Orders

Let G a group and ω(G) be the set of element orders of G. Let k∈ω(G) and let sk be the number of elements of order k in G. Let nse(G)={sk∣k∈ω(G)}. In Khatami et al. and Liu's works, L3(2) and L3(4) are uniquely determined by nse(G). In this paper, we prove that if G is a group such that nse(G) = nse(U3(7)), then G≅U3(7).

scholarly journals A Characterization of the finite simple group U4(3)

1969 ◽  
Vol 10 (1-2) ◽  
pp. 77-94 ◽  
Author(s):  
Kok-Wee Phan
Keyword(s):  
Simple Group ◽  
Finite Simple Group ◽  
Unitary Group ◽  
Special Unitary Group

The aim of this paper is to give a characterization of the finite simple group U4(3) i.e. the 4-dimensional projective special unitary group over the field of 9 elements. More precisely, we shall prove the following result.

Stable summands of U(n)

1997 ◽  
Vol 127 (5) ◽  
pp. 963-973 ◽  
Author(s):  
M. C. Crabb ◽  
J. R. Hubbuck ◽  
J. A. W. McCall
Keyword(s):  
Homotopy Type ◽  
Unitary Group ◽  
Stable Homotopy ◽  
Finite Complex ◽  
Special Unitary Group ◽  
Prime 2

SynopsisThe special unitary group SU(n) has the stable homotopy type of a wedge of n − 1 finite complexes. The ‘first’ of these complexes is ΣℂPn–1, which is well known to be indecomposable at the prime 2 whether n is finite or infinite. We show that the ‘second’ finite complex is again indecomposable at the prime 2 when n is finite, but splits into a wedge of two pieces when n is infinite.

Supercuspidal representations and preservation principle of theta correspondence

2019 ◽  
Vol 2019 (750) ◽  
pp. 1-52
Author(s):  
Shu-Yen Pan
Keyword(s):  
Unitary Group ◽  
Orthogonal Group ◽  
Classical Groups ◽  
Theta Correspondence ◽  
Dual Pairs ◽  
Supercuspidal Representations ◽  
Explicit Characterization ◽  
A Chain

Abstract The preservation principle of the local theta correspondence predicts the existence of a chain of irreducible supercuspidal representations of p-adic classical groups. In this paper, we give an explicit characterization of the chain starting from an irreducible supercuspidal representations of a unitary group of one variable or an orthogonal group of two variables. In particular, we define the Lusztig-like correspondence of generic cuspidal data for p-adic groups and establish its relation with local theta correspondence of supercuspidal representations for p-adic dual pairs.

Sign in / Sign up

Export Citation Format

Share Document