Cosets of normal subgroups and powers of conjugacy classes
نویسندگان
چکیده
Let G be a finite group and let K = x the conjugacy class of an element G. In this paper, it is proved that if N normal subgroup such coset union ? 1 (the inverse x), then ? ? are solvable. As application, we prove there exists natural number n ? 2 ? ,
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2021
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.201900554