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Characteristics of the body on the special linear group homomorphism

Author: HaoLiZhu
Tutor: WangLuQun
School: Heilongjiang University
Course: Basic mathematics
Keywords: The state of the body linear group of contracts
CLC: O152.3
Type: Master's thesis
Year: 2001
Downloads: 45
Quote: 2
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Abstract


Let F, K for the body , ChF F characteristics ; m , n ∈ Z ~~ SL_n ( F ) and GL_n (F) denote the special linear group F on n-order and the general linear group of order n ; SL_m ( K) and GL_m (K) denote the special linear group of order m on K and the general linear group . Zhong Mei in her master's thesis on a special linear group homomorphism matrix calculation methods and techniques to determine SL_n (F) to SL_m ( K ) ( n > m , m ≥ 3 ) homomorphism form of the same state is an extraordinary conclusion . Next, in ChF ≠ 2 , n ≥ 3 limit determined SL_n (F) to the homomorphic form SL_n (K) to obtain the same state at this time is the standard Conclusion . This article is on the basis of the Zhong Mei continue to study , completely solve the body n ≥ 3 , ChF = 2 special linear group homomorphism . Therefore , these results and corresponding conclusions of the literature is to promote and improve .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Linear group theory
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