Displaying similar documents to “On finite same-invariant linear groups.”

Infinite dimensional linear groups with many G - invariant subspaces

Leonid Kurdachenko, Alexey Sadovnichenko, Igor Subbotin (2010)

Open Mathematics

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Let F be a field, A be a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. A subspace B of A is called nearly G-invariant, if dimF(BFG/B) is finite. A subspace B is called almost G-invariant, if dim F(B/Core G(B)) is finite. In the current article, we study linear groups G such that every subspace of A is either nearly G-invariant or almost G-invariant in the case when G is a soluble p-group where p = char F.

Groups with large Noether bound

Kálmán Cziszter, Mátyás Domokos (2014)

Annales de l’institut Fourier

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The finite groups having an indecomposable polynomial invariant of degree at least half the order of the group are classified. It turns out that –apart from four sporadic exceptions– these are exactly the groups with a cyclic subgroup of index at most two.

The groups of order at most 2000.

Besche, Hans Ulrich, Eick, Bettina, O'Brien, E.A. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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