Class two $p$ groups as fixed point free automorphism groups
نویسندگان
چکیده
منابع مشابه
Finite Fixed Point Free Automorphism Groups
Preface A famous theorem by Frobenius in 1901 proves that if a group G contains a proper non trivial subgroup H such that H ∩ g −1 Hg = {1 G } for all g ∈ G \ H, then there exists a normal subgroup N such that G is the semidirect product of N and H. Groups with this property-the so called Frobenius groups-arise in a natural way as transitive permutation groups, but they can also be characterize...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1970
ISSN: 0019-2082
DOI: 10.1215/ijm/1256053308