Glasnik matematički, Vol. 49 No. 1, 2014.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.49.1.10
p-groups for which each outer p-automorphism centralizes only p elements
Alireza Abdollahi
orcid.org/0000-0001-7277-4855
; Department of Mathematics, University of Isfahan, Isfahan 81746-73441, Iran
S. Mohsen Ghoraishi
; Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran
Sažetak
An automorphism of a group is called outer if it is not an inner automorphism. Let G be a finite p-group. Then for every outer p-automorphism φ of G the subgroup CG(φ)={x∈ G | xφ=x} has order p if and only if G is of order at most p2.
Ključne riječi
p-groups; p-automorphism; outer automorphism
Hrčak ID:
122524
URI
Datum izdavanja:
8.6.2014.
Posjeta: 548 *