Automorphisms of finite p-groups admitting a partition
نویسندگان
چکیده
منابع مشابه
Automorphisms of finite p-groups admitting a partition
For a finite p-group P the following three conditions are equivalent: (a) to have a (proper) partition, that is, to be the union of some proper subgroups with trivial pairwise intersections; (b) to have a proper subgroup outside of which all elements have order p; (c) to be a semidirect product P = P1o ⟨φ⟩ where P1 is a subgroup of index p and φ is a splitting automorphism of order p of P1. It ...
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ژورنال
عنوان ژورنال: Algebra and Logic
سال: 2012
ISSN: 0002-5232,1573-8302
DOI: 10.1007/s10469-012-9189-2