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A General Measuring Argument for Finite Groups

Author: ChenJinZhi
Tutor: ChenGang
School: Central China Normal University
Course: Basic mathematics
Keywords: finite group Chermak-Delgado measure Chermak-Delgadolattice Chermak-Delgado subgroup centralizer subnormal
CLC: O152.1
Type: Master's thesis
Year: 2013
Downloads: 1
Quote: 0
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Abstract


In this thesis,Chermak-Delgado measures and Chermak-Delgado lattices of finite groups are studied. And the properties of the elements in Chermak-Delgado lattices are given,such as normality. The Chermak-Delgado lattices of general permutation groups have been studied entirely by using the properties of Chermak-Delgado lattices.We give some examples,especially a counter-example showing that subgroups in Chermak-Delgado lattices are not normal in gener-al. Chermak-Delgado subgroup is defined and some properties of it are giv-en,by considering the relation of the elements in Chermak-Delgado lattice,we obtain some necessary conditions where Chermak-Delgado lattice is a chain.The Chermak-Delgado lattices of p-groups have been investigated

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Finite group theory
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