Fixed Points of Automorphisms of Certain Non-Cyclic p-Groups and the Dihedral Group

Let G=Zp⊕Zp2, where p is a prime number. Suppose that d is a divisor of the order of G. In this paper, we find the number of automorphisms of G fixing d elements of G and denote it by θ(G,d). As a consequence, we prove a conjecture of Checco-Darling-Longfield-Wisdom. We also find...

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Bibliographic Details
Main Authors: Umar Hayat, Daniel López-Aguayo, Akhtar Abbas
Format: Article
Language:English
Published: MDPI AG 2018-06-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/7/238