Please use this identifier to cite or link to this item: https://ir.sc.mahidol.ac.th/handle/123456789/325
Title: Perfect isometry groups for cyclic groups of prime order
Authors: Pornrat Ruengrot
Keywords: perfect isometry;cyclic group
Issue Date: 2014
Publisher: Nguyen Tat Thanh University
Citation: Ruengrot P. Perfect isometry groups for cyclic groups of prime. East-West Journal of Mathematics 2014;16:78-86.
Abstract: A perfect isomety is an important relation between blocks of finite groups as many information about blocks are preserved by it. If we consider the group of all perfect that is also preserved by a perfect isometries between a between a block to itself then this gives another information about the block that is also preserved by a perfect isomety. The structure of this group depends on the block and can be fairly simple or extremely complicated. In this paper we study the perfect isomety group for the block of Cp, the cyclic group of prime order, and completely describe the structure of this group. The result shows that any self perfect isometry for Cp is essentially either induced by an element in Aut (Cp), or obtained by multiplication by one of its linear characters.
URI: http://ir.sc.mahidol.ac.th/handle/123456789/325
ISSN: 0125-2526
Appears in Collections:Mathematics: National Journal Publications

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