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Conjugacy class sizes for some 2-groups of nilpotency class two

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

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Official URL: http://dx.doi.org/10.11113/jt.v57.1519

Abstract

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.

Item Type:Article
Uncontrolled Keywords:Technology
Subjects:T Technology
Divisions:Science
ID Code:46732
Deposited By: Haliza Zainal
Deposited On:22 Jun 2015 05:56
Last Modified:01 Nov 2017 04:17

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