On Some Problems in Group Theory of Probabilistic Nature

The determination of the abelianness of a nonabelian group has been introduced for symmetric groups by Erdos and Turan in 1968. In 1973, Gustafson did the same for finite groups while MacHale determined the abelianness for finite rings in 1974. Basic probability theory will be used in connection wit...

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Main Authors: Mohd. Ali, Nor Muhainiah, Sarmin, Nor Haniza
Format: Article
Language:English
Published: Penerbit Universiti Putra Malaysia, Serdang 2010
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Online Access:http://eprints.utm.my/id/eprint/38011/2/MM%20v.32%282%292010_35_41.pdf
http://eprints.utm.my/id/eprint/38011/
http://math.upm.edu.my/dismath/paper/2010/MM%20v.32(2)2010_35_41.pdf
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spelling my.utm.380112017-03-03T05:49:28Z http://eprints.utm.my/id/eprint/38011/ On Some Problems in Group Theory of Probabilistic Nature Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza QA Mathematics The determination of the abelianness of a nonabelian group has been introduced for symmetric groups by Erdos and Turan in 1968. In 1973, Gustafson did the same for finite groups while MacHale determined the abelianness for finite rings in 1974. Basic probability theory will be used in connection with group theory. This paper will focus on the 2-generator 2-groups of nilpotency class 2 based on the classification that has been done by Kappe et.al in 1999. In this paper some results on Pn(G), the probability that the nth power of a random element in a group G commutes with another random element from the same group, will be presented. Penerbit Universiti Putra Malaysia, Serdang 2010 Article PeerReviewed text/html en http://eprints.utm.my/id/eprint/38011/2/MM%20v.32%282%292010_35_41.pdf Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza (2010) On Some Problems in Group Theory of Probabilistic Nature. Menemui Matematik (Discovering Mathematics), 32 (2). pp. 35-41. ISSN 2231-7023 http://math.upm.edu.my/dismath/paper/2010/MM%20v.32(2)2010_35_41.pdf
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/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mohd. Ali, Nor Muhainiah
Sarmin, Nor Haniza
On Some Problems in Group Theory of Probabilistic Nature
description The determination of the abelianness of a nonabelian group has been introduced for symmetric groups by Erdos and Turan in 1968. In 1973, Gustafson did the same for finite groups while MacHale determined the abelianness for finite rings in 1974. Basic probability theory will be used in connection with group theory. This paper will focus on the 2-generator 2-groups of nilpotency class 2 based on the classification that has been done by Kappe et.al in 1999. In this paper some results on Pn(G), the probability that the nth power of a random element in a group G commutes with another random element from the same group, will be presented.
format Article
author Mohd. Ali, Nor Muhainiah
Sarmin, Nor Haniza
author_facet Mohd. Ali, Nor Muhainiah
Sarmin, Nor Haniza
author_sort Mohd. Ali, Nor Muhainiah
title On Some Problems in Group Theory of Probabilistic Nature
title_short On Some Problems in Group Theory of Probabilistic Nature
title_full On Some Problems in Group Theory of Probabilistic Nature
title_fullStr On Some Problems in Group Theory of Probabilistic Nature
title_full_unstemmed On Some Problems in Group Theory of Probabilistic Nature
title_sort on some problems in group theory of probabilistic nature
publisher Penerbit Universiti Putra Malaysia, Serdang
publishDate 2010
url http://eprints.utm.my/id/eprint/38011/2/MM%20v.32%282%292010_35_41.pdf
http://eprints.utm.my/id/eprint/38011/
http://math.upm.edu.my/dismath/paper/2010/MM%20v.32(2)2010_35_41.pdf
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