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Solution of a Non-Domestic Tame Classification Problem from Integral Representation Theory of Finite Groups (Memoirs of the American Mathematical Society)

Dieterich, Ernst

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ISBN 10: 0821825216 / ISBN 13: 9780821825211
Published by Amer Mathematical Society, 1991
Used Condition: Very Good
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Former Library book. Great condition for a used book! Minimal wear. Bookseller Inventory # GRP83371504

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Title: Solution of a Non-Domestic Tame ...

Publisher: Amer Mathematical Society

Publication Date: 1991

Book Condition:Very Good

About this title


Suppose R is a complete discrete valuation ring with exponential valuation v, G is a finite p-group. The representation type (finite, tame, or wild) of the group ring *L = RG had been determined in all cases but one; the case in which G = C3 and v(3)=4. The present book closes this gap. The author presents an explicit classification of all indecomposable lattices, as well as a description of the Auslander-Reiten quiver of *L, demonstrating that this is the only integral group ring whose representation type is non-domestic tame of finite growth. This book acquaints readers with various (by now classical) tame module categories, with techniques of matrix reduction, and with the interaction of basefree (category-theoretic) and base-dependent (matrix-theoretic) viewpoints and their respective relations to the combinatorial intuition provided by Auslander-Reiten quivers.

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