The subnormal structure of classical-like groups over commutative rings
K-Theory and Homology
2020-09-08 v1
Abstract
Let be an integer greater than or equal to and a Hermitian form ring where is commutative. We prove that if is a subgroup of the odd-dimensional unitary group normalised by a relative elementary subgroup , then there is an odd form ideal such that where if respectively if . As a conseqence of this result we obtain a sandwich theorem for subnormal subgroups of odd-dimensional unitary groups.
Cite
@article{arxiv.2009.03057,
title = {The subnormal structure of classical-like groups over commutative rings},
author = {Raimund Preusser},
journal= {arXiv preprint arXiv:2009.03057},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1801.00699