GL IAPS

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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}