The unitary group over the integers of a quaternion algebra |
| |
Authors: | Chan-nan Chang |
| |
Affiliation: | Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01002 USA |
| |
Abstract: | Let L be a lattice over the integers of a quaternion algebra with center K which is a -adic field. Then the unitary group U(L) equals its own commutator subgroup and is generated by the unitary transvections and quasitransvections contained in it. Let g be a tableau, U(g), U+(g), , T(g) be the corresponding congruence subgroups of order g. Then , and (the subgroup generated by the unitary transvections and quasitransvections with order ≤ g). Let G be a subgroup of U(L) with o(G) = g, then G is normal in U(L) if and only if U(g) ? G ? T(g). |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|