Geodesic
A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields
Kim, Sungwoon1 ; Kim, Joonhyung2
1 Department of Mathematics, Jeju National University, Jeju, South Korea
2 Department of Mathematics Education, Jeonju University, Jeonju, South Korea
Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 957-974

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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).

DOI : 10.2140/agt.2018.18.957
Classification : 22E40, 30F40, 57S30
Keywords: quaternionic Kleinian group, trace field

Kim, Sungwoon 1 ; Kim, Joonhyung 2

1 Department of Mathematics, Jeju National University, Jeju, South Korea
2 Department of Mathematics Education, Jeonju University, Jeonju, South Korea 
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Kim, Sungwoon; Kim, Joonhyung. A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields. Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 957-974. doi: 10.2140/agt.2018.18.957

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