Mathematica, Volume (64 (87)), No (1), Year (2022-5) , Pages (75-82)

Title : ( Finite p-groups which are non-inner nilpotent )

Authors: masoumeh ganjali , Ahmad Erfanian , INTAN MUCHTADI-ALAMSYAH ,

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A group G is called a non-inner nilpotent group, whenever it is nilpotent with respect to a non-inner automorphism. In 2018, all finitely generated abelian non-inner nilpotent groups have been classified. Actually, the authors proved that a finitely generated abelian group G is a non-inner nilpotent group, if G is not isomorphic to cyclic groups and Z, for a positive integer t and distinct primes p1, p2, . . . , pt. In this paper, we make this conjecture that all finite non-abelian p-groups are non-inner nilpotent and we prove this conjecture for finite p-groups of nilpotency class 2 or of co-class 2.


, Central automorphism, inner automorphism, nilpotent group, noninner nilpotent group
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author = {Ganjali, Masoumeh and Erfanian, Ahmad and INTAN MUCHTADI-ALAMSYAH},
title = {Finite p-groups which are non-inner nilpotent},
journal = {Mathematica},
year = {2022},
volume = {64 (87)},
number = {1},
month = {May},
issn = {1222-9016},
pages = {75--82},
numpages = {7},
keywords = {Central automorphism; inner automorphism; nilpotent group; noninner nilpotent group},


%0 Journal Article
%T Finite p-groups which are non-inner nilpotent
%A Ganjali, Masoumeh
%A Erfanian, Ahmad
%J Mathematica
%@ 1222-9016
%D 2022