On monomial $p^a$-representations of finite $p$-groups.
نویسندگان
چکیده
منابع مشابه
Monomial Characters of Finite Groups
An abundance of information regarding the structure of a finite group can be obtained by studying its irreducible characters. Of particular interest are monomial characters — those induced from a linear character of some subgroup — since Brauer has shown that any irreducible character of a group can be written as an integral linear combination of monomial characters. Our primary focus is the cl...
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For any characteristic zero coefficient field, an irreducible representation of a finite p-group can be assigned a Roquette p-group, called the genotype. This has already been done by Bouc and Kronstein in the special cases Q and C. A genetic invariant of an irrep is invariant under group isomorphism, change of coefficient field, Galois conjugation, and under suitable inductions from subquotien...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1977
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11715