Some remarks on subgroups, epimorphic images and p′-automorphisms of finite p-groups
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Published:2018-04-26
Issue:05
Volume:17
Page:1850089
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel
Abstract
Characterizations of some [Formula: see text]-groups are obtained: [Formula: see text]-groups of maximal class, metacyclic [Formula: see text]-groups. The critical subgroups for solvable groups are defined. For a number of known results new proofs are presented. For investigation of [Formula: see text]-automorphisms of [Formula: see text]-groups the minimal nonnilpotent groups are used essentially. Use of counting theorems allows us to simplify some proofs. A number of open problems is stated.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Reference24 articles.
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2. Mathematical Surveys and Monographs;Aschbacher M.,2004