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The Complexity of a Module and Elementary Abelian Subgroups: A Geometric Approach

Peter Symonds
Proceedings of the American Mathematical Society
Vol. 113, No. 1 (Sep., 1991), pp. 27-29
DOI: 10.2307/2048435
Stable URL: http://www.jstor.org/stable/2048435
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Complexity of a Module and Elementary Abelian Subgroups: A Geometric Approach
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Abstract

We present a proof of the theorem of Alperin and Evens that the complexity of a module is determined by the complexities of its restrictions to elementary abelian subgroups. We use only well-known properties of the spectral sequence.

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