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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Marius Tărnăuceanu (2013)
Open Mathematics
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In this short note a correct proof of Theorem 3.3 from [Tărnăuceanu M., Solitary quotients of finite groups, Cent. Eur. J. Math., 2012, 10(2), 740–747] is given.
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.
E. Leuzinger, C. Pittet (1996)
Geometric and functional analysis
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M. E. Adams (1974)
Colloquium Mathematicae
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Raymond F. Tennant (2002)
Visual Mathematics
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R. Beazer (1974)
Colloquium Mathematicae
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Dave Witte (1995)
Inventiones mathematicae
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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.
Marc A. Rieffel (1981)
Journal für die reine und angewandte Mathematik
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G. Szasz (1976)
Matematički Vesnik
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Ta-Sun Wu (1993)
Mathematica Scandinavica
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Batut, Christian, Quebbemann, Heinz-Georg, Scharlau, Rudolf (1995)
Experimental Mathematics
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