Perfect numbers and finite groups. (Q361731)
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scientific article; zbMATH DE number 6199257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perfect numbers and finite groups. |
scientific article; zbMATH DE number 6199257 |
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Perfect numbers and finite groups. (English)
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19 August 2013
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A number is said to be perfect if it is the sum of its proper divisors. In the current paper this notion is extended to finite groups by calling a finite group a Leinster group if its order is equal to the sum of the orders of all its proper normal subgroups. Several general results and examples of Leinster groups are presented.
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perfect numbers
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finite groups
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Leinster groups
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orders of normal subgroups
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numbers of subgroups
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