Some automorphisms of finite nilpotent groups
Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 204-207
Voir la notice de l'article provenant de la source Cambridge University Press
This note extends the concept of the inner automorphism, but here applies only to those finite groups G for which some member of the lower central series is Abelian. In general (e.g. when G is metabelian) the construction yields an endomorphism semigroup, but in the special case where Gis nilpotent (and may therefore, for our present purposes, be considered as a p-group) a group of automorphisms results.
Howarth, J. C. Some automorphisms of finite nilpotent groups. Glasgow mathematical journal, Tome 4 (1960) no. 4, pp. 204-207. doi: 10.1017/S2040618500034171
@article{10_1017_S2040618500034171,
author = {Howarth, J. C.},
title = {Some automorphisms of finite nilpotent groups},
journal = {Glasgow mathematical journal},
pages = {204--207},
year = {1960},
volume = {4},
number = {4},
doi = {10.1017/S2040618500034171},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034171/}
}
[1] 1.Hall, P., Groups of prime power order, Proc. London Math. Soc. (2) 36 (1934) 29–95. Google Scholar | DOI
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