Abstract
Let p be a prime number. It is known that the standard module of a p-association scheme over a field of characteristic p is indecomposable. By examples, the converse of the above fact is not true. We will prove that, for a schurian association scheme, the standard module is indecomposable if and only if the association scheme is a p-scheme.
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This work was supported by JSPS KAKENHI Grant Number JP17K05165.
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Hanaki, A. Indecomposability of modular standard modules of schurian association schemes and \(\varvec{p}\)-schemes. Arch. Math. 111, 43–46 (2018). https://doi.org/10.1007/s00013-018-1166-0
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DOI: https://doi.org/10.1007/s00013-018-1166-0