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Algebras and quaternion defect groups. I

✍ Scribed by Karin Erdmann

Publisher
Springer
Year
1988
Tongue
English
Weight
699 KB
Volume
281
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

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Let A be a quaternion algebra over a commutative unital ring. We find sufficient conditions for pairs of units of A to generate a free group. Using the Ε½ . well-known isomorphism between SO 3, ‫ޒ‬ and the group of real quaternions of norm 1, we obtain free groups of rotations of the Euclidean 3-spac

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In this paper, we study if the following properties are present in defect 3 blocks Ε½ . of symmetric group algebras k α‘‘ , where k has characteristic p G 5 : n Ε½ . 1 the Ext-quiver is bipartite; Ε½ . 2 the p.i.m.'s have a common Loewy length 7. We obtain a criteria for a defect 3 block B of k α‘‘ to inhe