On the tensor square of a prime power group (Q1924932)
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scientific article; zbMATH DE number 938560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the tensor square of a prime power group |
scientific article; zbMATH DE number 938560 |
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On the tensor square of a prime power group (English)
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27 October 1996
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We give a direct proof of bounds, due to N. R. Rocco, for the order of the tensor square of a finite group of prime power order. Our method of proof also yields a new upper bound for the exponent of such a tensor square. Additionally, we show that the exponent of the tensor square of an arbitrary finite group \(G\) divides \(\exp (G') \times |G|\).
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order of tensor square
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finite group of prime power order
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exponent
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