Let O O be a commutative ring, and suppose is a normalized O O-algebra automorphism of the group ring O OG of a finite group G over O O. In this paper we consider the action of on various algebraic structures associated to G. Suppose O O is an integral domain of characteristic 0, and that no prime d
On the number of automorphisms of structures
β Scribed by F. Galvin; G. Hesse; K. Steffens
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 335 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0012-365X
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## Dedicated to Professor H. Salzmann on the occasion of his 60th birthday' ABSTRACT. In this note we consider 2-dimensional Laguerre planes and prove structure theorems on their automorphism group F. In particular, we look at connected locally simple Lie subgroups of F and the factor group 12/A o
A be a connected algebra with a graded algebra endomor- The trace of is defined to be Tr , t s Γ tr Β¬ A t . We prove that Tr , t is a rational function if A is either finitely generated commutative or right noetherian with finite global dimension or regular. A version of Molien's theorem follows i
Given a locally finite partially ordered set, X, a ring with identity, R, and an automorphism, , of the incidence algebra of X over R, it is determined when is the composite of an inner automorphism, an automorphism of X, and an induced automorphism of R.
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Phenotype structures in genetic systems arc carefully defined in an abstract setting so that a considerable amount of enumerative theory can be brought to bear on the problem of enumerating them. Recent results can be used to simplify the computations, and a natural correspondence is suggested which