Chevalley group;
elementary subgroup;
integral domain;
isomorphism;
D O I:
10.1090/S0002-9947-96-01521-8
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
It is shown that every automorphism of an adjoint Chevalley group over an integral domain containing the rational number field is uniquely expressible as the product of a ring automorphism, a graph automorphism and an inner automorphism while every isomorphism between simple adjoint Chevalley groups can be expressed uniquely as the product of a ring isomorphism, a graph isomorphism and an inner automorphism. The isomorphisms between the elementary subgroups are also found having analogous expressions.
机构:
St.Petersburg State University, St.Petersburg State Electrotechnical University, St.PetersburgSt.Petersburg State University, St.Petersburg State Electrotechnical University, St.Petersburg
机构:
Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North IrelandQueens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland
Hazrat, R.
Petrov, V.
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机构:
St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, RussiaQueens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland
Petrov, V.
Vavilov, N.
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机构:
St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, RussiaQueens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland
机构:
North Ossetian State Univ Kosta Levanovich Khetag, Vladikavkaz, Russia
Russian Acad Sci, Southern Math Inst, Vladikavkaz Sci Ctr, Vladikavkaz, RussiaNorth Ossetian State Univ Kosta Levanovich Khetag, Vladikavkaz, Russia
Koibaev, V. A.
Kuklina, S. K.
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机构:
Siberian Fed Univ, Krasnoyarsk, RussiaNorth Ossetian State Univ Kosta Levanovich Khetag, Vladikavkaz, Russia
Kuklina, S. K.
Likhacheva, A. O.
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机构:
Siberian Fed Univ, Krasnoyarsk, RussiaNorth Ossetian State Univ Kosta Levanovich Khetag, Vladikavkaz, Russia
Likhacheva, A. O.
Nuzhin, Ya. N.
论文数: 0引用数: 0
h-index: 0
机构:
Siberian Fed Univ, Krasnoyarsk, RussiaNorth Ossetian State Univ Kosta Levanovich Khetag, Vladikavkaz, Russia