Specific automorphisms on a 2-generated p-group of class two

Specific automorphisms on a 2-generated p-group of class two

Let G be a finite two generated p-group of nilpotency class two, where p is a prime number. If φ(G) is the Frattini subgroup of G, then G/φ(G) is a vector space of dimension two over the field Z/pZ. In this paper, we determine those automorphisms on G which induce identity transformation on G/φ(G)....

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Main Authors: Sarmin, N. H., Barakat, Y.
Format: Conference or Workshop Item
Published: 2013
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/51313/
http://dx.doi.org/10.1063/1.4823871
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Institution: Universiti Teknologi Malaysia
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spelling my.utm.513132017-09-18T01:14:38Z http://eprints.utm.my/id/eprint/51313/ Specific automorphisms on a 2-generated p-group of class two Sarmin, N. H. Barakat, Y. QA Mathematics Let G be a finite two generated p-group of nilpotency class two, where p is a prime number. If φ(G) is the Frattini subgroup of G, then G/φ(G) is a vector space of dimension two over the field Z/pZ. In this paper, we determine those automorphisms on G which induce identity transformation on G/φ(G). We use the most updated classification given for G to find these automorphisms. The results of this study are applicable in classifying Aut(G), the automorphism group of G. 2013 Conference or Workshop Item PeerReviewed Sarmin, N. H. and Barakat, Y. (2013) Specific automorphisms on a 2-generated p-group of class two. In: AIP Conference Proceedings. http://dx.doi.org/10.1063/1.4823871
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Sarmin, N. H.
Barakat, Y.
Specific automorphisms on a 2-generated p-group of class two
description Let G be a finite two generated p-group of nilpotency class two, where p is a prime number. If φ(G) is the Frattini subgroup of G, then G/φ(G) is a vector space of dimension two over the field Z/pZ. In this paper, we determine those automorphisms on G which induce identity transformation on G/φ(G). We use the most updated classification given for G to find these automorphisms. The results of this study are applicable in classifying Aut(G), the automorphism group of G.
format Conference or Workshop Item
author Sarmin, N. H.
Barakat, Y.
author_facet Sarmin, N. H.
Barakat, Y.
author_sort Sarmin, N. H.
title Specific automorphisms on a 2-generated p-group of class two
title_short Specific automorphisms on a 2-generated p-group of class two
title_full Specific automorphisms on a 2-generated p-group of class two
title_fullStr Specific automorphisms on a 2-generated p-group of class two
title_full_unstemmed Specific automorphisms on a 2-generated p-group of class two
title_sort specific automorphisms on a 2-generated p-group of class two
publishDate 2013
url http://eprints.utm.my/id/eprint/51313/
http://dx.doi.org/10.1063/1.4823871
_version_ 1643653002912858112

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