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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
6
votes
Incidence matrices of generalized quadrangles
You can compute them with the FinInG package in the computer algebra system GAP. FinInG has available all the classical generalised quadrangles, elation generalised quadrangles (with a $q$-clan, flock …
18
votes
1
answer
2k
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A geometric series equalling a power of an integer
The following problem cropped up whilst considering generalised quadrangles with a product structure, and it boils down to a simple number theoretic problem. Let $s$ be an integer greater than 2 and s …