# GL IAPS

This article describes a particular IAPS of groups, or family of such IAPSes parametrized by some structure

## Contents

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

## Definition

The GL IAPS, or general linear IAPS or IAPS of general linear groups associated to a unital ring $R$ is an IAPS of groups where:

• The $n^{th}$ member is the group $GL_n(R)$ of invertible matrices with entries in $R$, of order $n$
• The block concatenation map $\Phi_{m,n}(A,B)$ yields:

$\Phi_{m,n}(A,B) = \begin{pmatrix} A & 0 \\ 0 & B \end{pmatrix}$