The lower garland of subgroup lattices in linear groups.
Panin, A.A. (2002)
Zapiski Nauchnykh Seminarov POMI
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Panin, A.A. (2002)
Zapiski Nauchnykh Seminarov POMI
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Raymond F. Tennant (2002)
Visual Mathematics
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Marius Tărnăuceanu (2012)
Open Mathematics
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We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.
Simion Breaz (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Mosak, Richard D., Moskowitz, Martin (1994)
Journal of Lie Theory
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A. Sakowicz (2003)
Colloquium Mathematicae
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We give the description of locally finite groups with strongly balanced subgroup lattices and we prove that the strong uniform dimension of such groups exists. Moreover we show how to determine this dimension.
M. E. Adams (1974)
Colloquium Mathematicae
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J. Krempa, A. Sakowicz (2001)
Colloquium Mathematicae
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Let G be any finite group and L(G) the lattice of all subgroups of G. If L(G) is strongly balanced (globally permutable) then we observe that the uniform dimension and the strong uniform dimension of L(G) are well defined, and we show how to calculate these dimensions.
R. Beazer (1974)
Colloquium Mathematicae
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Nebe, Gabriele (1996)
Experimental Mathematics
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G. Szasz (1976)
Matematički Vesnik
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Batut, Christian, Quebbemann, Heinz-Georg, Scharlau, Rudolf (1995)
Experimental Mathematics
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