A characterization of quaternionic Kleinian groups in dimension $2$ with complex trace fields

ALGEBRAIC AND GEOMETRIC TOPOLOGY（2018）

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摘要

Let G be a nonelementary discrete subgroup of Sp(2, 1). We show that if the sum of diagonal entries of each element of G is a complex number, then G is conjugate to a subgroup of U(2, 1).

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关键词

quaternionic Kleinian group, trace field

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