Principal blocks with 5 irreducible characters

نویسندگان

چکیده

We show that if the principal p-block of a finite group G contains exactly 5 irreducible ordinary characters, then Sylow p-subgroup has order 5, 7 or is isomorphic to one non-abelian 2-groups 8.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2021.06.009