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Composition Factors from the Table of Marks

✍ Scribed by Florian Luca; Alberto G Raggi-Cárdenas

Book ID
102573950
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
79 KB
Volume
244
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Let B G be the Burnside ring for a finite group G and let T G be the table of marks of G. It is known that, in general, neither B G nor T G determines the finite group G. That is, one can easily construct pairs of non-isomorphic finite groups such that their table of marks is the same (hence, their Burnside rings are isomorphic). In this note, we show that the composition factors of G are determined by the table of marks T G .

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