On the Lattice of Subgroups of a Group

Journal of Formalized Mathematics
Volume 7, 1995
University of Bialystok
Copyright (c) 1995 Association of Mizar Users

On the Lattice of Subgroups of a Group

Janusz Ganczarski: Warsaw University, Bialystok

MML Identifier: LATSUBGR

The terminology and notation used in this paper have been introduced in the following articles [10] [5] [17] [2] [18] [9] [4] [3] [19] [11] [8] [13] [15] [12] [14] [16] [1] [7] [6]

Contents (PDF format)

Bibliography

[1] Grzegorz Bancerek. Complete lattices. Journal of Formalized Mathematics, 4, 1992.

[2] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[3] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.

[4] Czeslaw Bylinski. Partial functions. Journal of Formalized Mathematics, 1, 1989.

[5] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.

[6] Andrzej Iwaniuk. On the lattice of subspaces of a vector space. Journal of Formalized Mathematics, 7, 1995.

[7] Jolanta Kamienska and Jaroslaw Stanislaw Walijewski. Homomorphisms of lattices, finite join and finite meet. Journal of Formalized Mathematics, 5, 1993.

[8] Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski. Abelian groups, fields and vector spaces. Journal of Formalized Mathematics, 1, 1989.

[9] Beata Padlewska. Families of sets. Journal of Formalized Mathematics, 1, 1989.

[10] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[11] Wojciech A. Trybulec. Vectors in real linear space. Journal of Formalized Mathematics, 1, 1989.

[12] Wojciech A. Trybulec. Classes of conjugation. Normal subgroups. Journal of Formalized Mathematics, 2, 1990.

[13] Wojciech A. Trybulec. Groups. Journal of Formalized Mathematics, 2, 1990.

[14] Wojciech A. Trybulec. Lattice of subgroups of a group. Frattini subgroup. Journal of Formalized Mathematics, 2, 1990.

[15] Wojciech A. Trybulec. Subgroup and cosets of subgroups. Journal of Formalized Mathematics, 2, 1990.

[16] Wojciech A. Trybulec and Michal J. Trybulec. Homomorphisms and isomorphisms of groups. Quotient group. Journal of Formalized Mathematics, 3, 1991.

[17] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[18] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[19] Stanislaw Zukowski. Introduction to lattice theory. Journal of Formalized Mathematics, 1, 1989.

Received May 23, 1995

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