LINEAR STRUCTURES OF PERMUTATION GROUPS OVER FINITE MODULES
نویسندگان
چکیده
منابع مشابه
Permutation Presentations of Modules over Finite Groups
We introduce a notion of permutation presentations of modules over finite groups, and completely determine finite groups over which every module has a permutation presentation. To get this result, we prove that every coflasque module over a cyclic p-group is permutation projective.
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The cross-characteristic permutation modules for the actions of the finite classical groups on singular 1-spaces of their natural modules are studied. The composition factors and submodule lattices are determined.
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In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced. Of course, the solution will have a considerable effect on many related areas, both wi...
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ژورنال
عنوان ژورنال: Prikladnaya diskretnaya matematika
سال: 2008
ISSN: 2071-0410
DOI: 10.17223/20710410/1/5