Solution of a Non-Domestic Tame Classification Problem from Integral Representation Theory of Finite Groups ([Lambda]=rc, V(3)=4) Ernst Dieterich

ISBN: 9780821825211

Published: January 1st 1991

Unknown Binding

140 pages


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Solution of a Non-Domestic Tame Classification Problem from Integral Representation Theory of Finite Groups ([Lambda]=rc, V(3)=4)  by  Ernst Dieterich

Solution of a Non-Domestic Tame Classification Problem from Integral Representation Theory of Finite Groups ([Lambda]=rc, V(3)=4) by Ernst Dieterich
January 1st 1991 | Unknown Binding | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 140 pages | ISBN: 9780821825211 | 5.57 Mb

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 andMoreSuppose 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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