For t < c n the only maximal (t-1)-intersection-free families in GL(n,q) are the t-umvirates and their duals.
Polynomial Bogolyubov for special linear groups via tensor rank.arXiv e-prints, page arXiv:2404.00641, March
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Large t-intersecting families of k-subspaces in n-space (n ≥ 2k+1) admit a low-dimensional governing structure, enabling analogues of several classical extremal results.
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Forbidden Intersection Theorems for Matrix Spaces
For t < c n the only maximal (t-1)-intersection-free families in GL(n,q) are the t-umvirates and their duals.
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Structure of $t$-Intersecting Families of Vector Spaces
Large t-intersecting families of k-subspaces in n-space (n ≥ 2k+1) admit a low-dimensional governing structure, enabling analogues of several classical extremal results.