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Original Articles

The Augmentation Quotients of the Groups of Order 25, I

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Pages 2956-2977 | Received 17 Dec 2008, Published online: 22 Sep 2009
 

Abstract

In this article we present the nth power Δ n (G) of the augmentation ideal Δ(G) and describe the structure of Q n (G) = Δ n (G)/Δ n+1(G) for 35 particular groups G of order 25. The structure of Q n (G) for all the remaining groups of order 25 will be determined in a forthcoming article.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The authors wish to express their thanks for the referee's prompt and thoughtful reading of this article, and the first author would like to thank the production editor, Kerry Stanley, for understanding and kindness.

Notes

Communicated by S. Sehgal.

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