Cover Image

On D-maximal groups

Let G be a finite p-group and let d(G) denote the cardinality of a minimal generating set of G. G is said to be d-maximal if d(H) < d(G) for any proper subgroup H of G. In this paper we show that if G is a d-maximal p-group where p is odd, then G has exponent p or p 2. For p = 2, we show that und...

Full description

Saved in:
Bibliographic Details
Main Author: Chin, Angelina Yan Mui
Format: Article
Published: Università e Politecnico di Torino 2009
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/25656/
http://www.seminariomatematico.polito.it/rendiconti/67-1/109.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.um.eprints.25656
record_format eprints
spelling my.um.eprints.256562020-12-14T05:24:00Z http://eprints.um.edu.my/25656/ On D-maximal groups Chin, Angelina Yan Mui QA Mathematics Let G be a finite p-group and let d(G) denote the cardinality of a minimal generating set of G. G is said to be d-maximal if d(H) < d(G) for any proper subgroup H of G. In this paper we show that if G is a d-maximal p-group where p is odd, then G has exponent p or p 2. For p = 2, we show that under certain conditions, a d-maximal 2-group has exponent four. We then give some classes of d-maximal p-groups. We also investigate relations between powerful p-groups and d-maximal groups. Università e Politecnico di Torino 2009 Article PeerReviewed Chin, Angelina Yan Mui (2009) On D-maximal groups. Rendiconti del Seminario Matematico, 67 (1). pp. 109-115. ISSN 0373-1243 http://www.seminariomatematico.polito.it/rendiconti/67-1/109.pdf
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Chin, Angelina Yan Mui
On D-maximal groups
description Let G be a finite p-group and let d(G) denote the cardinality of a minimal generating set of G. G is said to be d-maximal if d(H) < d(G) for any proper subgroup H of G. In this paper we show that if G is a d-maximal p-group where p is odd, then G has exponent p or p 2. For p = 2, we show that under certain conditions, a d-maximal 2-group has exponent four. We then give some classes of d-maximal p-groups. We also investigate relations between powerful p-groups and d-maximal groups.
format Article
author Chin, Angelina Yan Mui
author_facet Chin, Angelina Yan Mui
author_sort Chin, Angelina Yan Mui
title On D-maximal groups
title_short On D-maximal groups
title_full On D-maximal groups
title_fullStr On D-maximal groups
title_full_unstemmed On D-maximal groups
title_sort on d-maximal groups
publisher Università e Politecnico di Torino
publishDate 2009
url http://eprints.um.edu.my/25656/
http://www.seminariomatematico.polito.it/rendiconti/67-1/109.pdf
_version_ 1687394112429359104
score 13.211869

Similar Items