Abstract
We show that any affine block design D = (P, B) is a subset of a suitable commutative group G_D, with the property that a k-subset of P is a block of D if and only if its k elements sum up to zero. As a consequence, the group of automorphisms of any affine design D is the group of automorphisms of G_D that leave P invariant. Whenever k is a prime p, G_D is an elementary abelian p-group.
Lingua originale | English |
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pagine (da-a) | 755-770 |
Numero di pagine | 16 |
Rivista | Journal of Algebraic Combinatorics |
Volume | 53 |
Stato di pubblicazione | Published - 2021 |
All Science Journal Classification (ASJC) codes
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- ???subjectarea.asjc.2600.2607???