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TWO-DIMENSIONAL LINEAR GROUPS OVER GAUSSIAN DOMAIN

TWO-DIMENSIONAL LINEAR GROUPS OVER GAUSSIAN DOMAIN
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摘要 Ⅰ. INTRODUCTIONLet Z[i] denote the Gaussian domain; G=GL(2, Z[i]);G2±={X∈G2|detX=±1};G2+=SL(2, Z[i]); and the projective groups of G2 and G2+ are denoted respectively by PG2 and PG2+. (Note that G2± and G2+ have the same projective group.) The image of X is denoted by ±X in PG2+, and εX in PG2. The automorphism group of group G is denoted by A(G), and the commutator subgroup of G is denoted by G′. X→ stands for the automorphism induced by complex conjugation. We
作者 武小龙
出处 《Chinese Science Bulletin》 SCIE EI CAS 1982年第2期135-137,共3页
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