Existence of Hall subgroups and embedding of π-subgroups into Hall subgroups
نویسندگان
چکیده
منابع مشابه
Extending Characters from Hall Subgroups
Suppose that G is a finite π-separable group. A classical result asserts that all irreducible characters of a Hall π-subgroup H of G extend to G if and only if H has a normal complement in G. Now, we fix a prime p and analyze when only the p-degree irreducible characters of H extend to G. 2010 Mathematics Subject Classification: 20C15 (primary), 20G40 (secondary)
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1989
ISSN: 0021-8693
DOI: 10.1016/0021-8693(89)90286-x