The translation equation on a direct product of groups
S. Midura, J. Tabor (1978)
Annales Polonici Mathematici
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S. Midura, J. Tabor (1978)
Annales Polonici Mathematici
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Frank D. Grosshans (1990)
Banach Center Publications
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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.
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.
W. Hebisch, J. Krawczyk (1992)
Monatshefte für Mathematik
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S. Lajos (1964)
Matematički Vesnik
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Yablan, Slavik (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Boya, Luis J. (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Colin C. Graham (1977)
Colloquium Mathematicae
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S. Rolewicz (1964)
Colloquium Mathematicae
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Besche, Hans Ulrich, Eick, Bettina, O'Brien, E.A. (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Colin C. Graham (1978)
Colloquium Mathematicae
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A. F. Palistrant, S. V. Jablan (1991)
Publications de l'Institut Mathématique
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R.C. Lyndon (1966)
Colloquium Mathematicae
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Gehring, F.W., Martin, G.J. (1996)
Annales Academiae Scientiarum Fennicae. Mathematica
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