Examples of algebraic groups of type G2 having the same maximal tori


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Answering a question of A. Rapinchuk, we construct examples of non-isomorphic semisimple algebraic groups H1 and H2 of type G2 having coherently equivalent systems of maximal k-tori.

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C. Beli

Simion Stoilow Institute of Mathematics of the Romanian Academy

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Email: Beli.Constantin@imar.ro
罗马尼亚, 21 Calea Grivitei St., Bucharest, 010702

P. Gille

Simion Stoilow Institute of Mathematics of the Romanian Academy

Email: Beli.Constantin@imar.ro
罗马尼亚, 21 Calea Grivitei St., Bucharest, 010702

T. Lee

École Polytechnique Fédérale de Lausanne

Email: Beli.Constantin@imar.ro
瑞士, Station 8, Lausanne, CH-1015

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