Basis invariants of finite primitive groups generated by reflections in four-dimensional unitary space

1990 ◽  
Vol 48 (1) ◽  
pp. 95-99
Author(s):  
O. I. Rudnitski�
Keyword(s):  
Unitary Space ◽  
Primitive Groups

A note on normal operators

1963 ◽  
Vol 59 (4) ◽  
pp. 727-729 ◽  
Author(s):  
S. J. Bernau ◽  
F. Smithies
Keyword(s):  
Hilbert Space ◽  
Linear Operator ◽  
Adjoint Operator ◽  
Spectral Theorem ◽  
Unitary Operators ◽  
Unitary Space ◽  
Bounded Linear ◽  
Finite Dimensional ◽  
Normal Operators ◽  
Finite Dimensional Case

We recall that a bounded linear operator T in a Hilbert space or finite-dimensional unitary space is said to be normal if T commutes with its adjoint operator T*, i.e. TT* = T*T. Most of the proofs given in the literature for the spectral theorem for normal operators, even in the finite-dimensional case, appeal to the corresponding results for Hermitian or unitary operators.

scholarly journals A remark on the C-normality of maximal subgroups of finite groups

1997 ◽  
Vol 40 (2) ◽  
pp. 243-246
Author(s):  
Yanming Wang
Keyword(s):  
Finite Group ◽  
Normal Subgroup ◽  
Finite Groups ◽  
Maximal Subgroups ◽  
Primitive Groups ◽  
A Finite Group

A subgroup H is called c-normal in a group G if there exists a normal subgroup N of G such that HN = G and H∩N ≤ HG, where HG =: Core(H) = ∩g∈GHg is the maximal normal subgroup of G which is contained in H. We use a result on primitive groups and the c-normality of maximal subgroups of a finite group G to obtain results about the influence of the set of maximal subgroups on the structure of G.

Raptor-Coded Noncoherent Cooperative Schemes Based on Distributed Unitary Space–Time Modulation

2015 ◽  
Vol 63 (8) ◽  
pp. 2873-2884 ◽  
Author(s):  
Wei-Min Lai ◽  
Yen-Ming Chen ◽  
Yeong-Luh Ueng
Keyword(s):  
Space Time ◽  
Unitary Space ◽  
Time Modulation
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