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Sheaves of Abelian Groups and the Quotients A**/A

✍ Scribed by G. Schlitt

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
371 KB
Volume
158
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

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A finite Abelian group G is partitioned into subsets which are translations of each othtr. A binary operation is defined on these sets in a way which generalizes the quotient group operation. Every finite Abelian group can be realized as such a generalized quotient with G cyclic.

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Let G be a permutation group of finite degree d. We prove that the product of the orders of the composition factors of G that are not alternating groups acting naturally, in a sense that will be made precise, is bounded by c d-1 /d, where c = 4 5. We use this to prove that any quotient G/N of G has