Conjugacy class sizes for some 2-groups of nilpotency class two
In this paper, we investigate the irreducible characters and the conjugacy class sizes for some 2-groups of class 2. The size of conjugacy classes of an element x in a group G is the order of xG, where xG is the conjugacy classes containing x. This research is based on the classification of those gr...
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my.utm.467322017-11-01T04:17:14Z http://eprints.utm.my/id/eprint/46732/ Conjugacy class sizes for some 2-groups of nilpotency class two Ilangovan, Sheila Sarmin, Nor Haniza T Technology In this paper, we investigate the irreducible characters and the conjugacy class sizes for some 2-groups of class 2. The size of conjugacy classes of an element x in a group G is the order of xG, where xG is the conjugacy classes containing x. This research is based on the classification of those groups given by Magidin in 2006. We show that the conjugacy class sizes of G are 2ρ where 0 ≤ ρ ≤ γ and {pipe}G'{pipe} = 2γ. Penerbit UTM Press 2012 Article PeerReviewed Ilangovan, Sheila and Sarmin, Nor Haniza (2012) Conjugacy class sizes for some 2-groups of nilpotency class two. Jurnal Teknologi, 1 (57). pp. 25-33. ISSN 0127-9696 http://dx.doi.org/10.11113/jt.v57.1519 |
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T Technology Ilangovan, Sheila Sarmin, Nor Haniza Conjugacy class sizes for some 2-groups of nilpotency class two |
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In this paper, we investigate the irreducible characters and the conjugacy class sizes for some 2-groups of class 2. The size of conjugacy classes of an element x in a group G is the order of xG, where xG is the conjugacy classes containing x. This research is based on the classification of those groups given by Magidin in 2006. We show that the conjugacy class sizes of G are 2ρ where 0 ≤ ρ ≤ γ and {pipe}G'{pipe} = 2γ. |
| format |
Article |
| author |
Ilangovan, Sheila Sarmin, Nor Haniza |
| author_facet |
Ilangovan, Sheila Sarmin, Nor Haniza |
| author_sort |
Ilangovan, Sheila |
| title |
Conjugacy class sizes for some 2-groups of nilpotency class two |
| title_short |
Conjugacy class sizes for some 2-groups of nilpotency class two |
| title_full |
Conjugacy class sizes for some 2-groups of nilpotency class two |
| title_fullStr |
Conjugacy class sizes for some 2-groups of nilpotency class two |
| title_full_unstemmed |
Conjugacy class sizes for some 2-groups of nilpotency class two |
| title_sort |
conjugacy class sizes for some 2-groups of nilpotency class two |
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Penerbit UTM Press |
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2012 |
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http://eprints.utm.my/id/eprint/46732/ http://dx.doi.org/10.11113/jt.v57.1519 |
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1643652123877965824 |
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13.160551 |