TY - JOUR
AB - This is the first in a series of papers dedicated to the structure of hyperbolic unitary groups over form rings and their subgroups. In this part, we recall foundations of the theory and study the elementary subgroup of the hyperbolic unitary group over a form ring. In particular, using a variant of Suslin's patching method, we prove standard commutator formulae for relative elementary subgroups. 2000 Mathematics Subject Classification: 20G35, 20B25.
AU - Bak, Anthony
AU - Vavilov, N.
ID - 1619515
IS - 2
JF - Algebra Colloquium
KW - unitary transvections
KW - unitary group
KW - elementary subgroup
SN - 1005-3867
TI - Structure of hyperbolic unitary groups I: elementary subgroups
VL - 7
ER -