On uniform dimensions of finite groups

J. Krempa; A. Sakowicz

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Displaying similar documents to “On uniform dimensions of finite groups”

On strong uniform dimension of locally finite groups

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.

The lower garland of subgroup lattices in linear groups.

Panin, A.A. (2002)

Zapiski Nauchnykh Seminarov POMI

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Classification lattices are geometric for complete atomistic lattices

Hua Mao (2017)

Open Mathematics

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We characterize complete atomistic lattices whose classification lattices are geometric. This implies an proper solution to a problem raised by S. Radeleczki in 2002.

Semimodularity in lower continuous strongly dually atomic lattices

Andrzej Walendziak (1996)

Archivum Mathematicum

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For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].

Hypersubstitutions in orthomodular lattices

Ivan Chajda, Helmut Länger (2001)

Discussiones Mathematicae - General Algebra and Applications

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It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described.

A problem of A. Monteiro concerning relative complementation of lattices

M. E. Adams (1974)

Colloquium Mathematicae

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Etude algorithmique de réseaux construits avec la forme trace. (Algorithmic study of lattices constructed by means of the trace form).

Bachoc, Christine, Batut, Christian (1992)

Experimental Mathematics

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A characterization of complete bi-Brouwerian lattices

R. Beazer (1974)

Colloquium Mathematicae

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On M-operators of q-lattices

Radomír Halaš (2002)

Discussiones Mathematicae - General Algebra and Applications

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It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.

Erratum to: “Solitary quotients of finite groups”

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.

Contributions to some generalizations of lattices

G. Szasz (1976)

Matematički Vesnik

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Identical Dual Lattices and Subdivision of Space

Ami Korren (2001)

Visual Mathematics

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Stabilizers of lattices in Lie groups.

Mosak, Richard D., Moskowitz, Martin (1994)

Journal of Lie Theory

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