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Application of group theory in solving puzzles
Pavlík, Tomáš ; Opršal, Jakub (advisor) ; Tůma, Jiří (referee)
This thesis studies the theory of combinatorical puzzles and its connection to the group theory. The aim of this work is to introduce the concept of puzzle to mathematics and to use group theory to solve it, special attention will be focused on solvable groups. Everything is interspersed with a number of practical examples to better understand the topic.
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Magnetic properties of R2TIn8 and related tetragonal compounds
Čermák, Petr ; Javorský, Pavel (advisor) ; Isnard, Olivier (referee) ; Honda, Fuminori (referee)
Title: Magnetic properties of R2TIn8 and related tetragonal compounds Author: Petr Čermák Department / Institute: Department of Condensed Matter Physics Supervisor of the doctoral thesis: doc. Mgr. Pavel Javorský, Dr., Department of Condensed Matter Physics Abstract: Intermetallic compounds R2TIn8 (R = rare earth, T = transition metal), commonly called "218" because of stoichiometry, are structurally related to a class of well- known Ce-based heavy-fermions like CeCoIn5 or CeRhIn5. They are located between fully 3D cubic compound (e.g. CeIn3) and quasi-2D "115" superconductors, which makes them ideal candidates to study structural dimensionality effects on various properties. Recent developments in this field showed that it is possible to grow compounds with T = Pd or Pt with "218" stoichiometry. Therefore further study of "218" compounds is desired since much less is known about them compared to "115" compounds. We have focused mainly on the determination of magnetic structures and crystal field effects along the series of Rh based "218" compounds for various rare-earth elements. The single crystals of compounds with R = Nd, Tb, Dy, Ho, Er, Tm, La, Lu, Y were successfully grown. Results of bulk measurements (specific heat, susceptibility) together with magnetic structures determined from several neutron...
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Magnetic properties of R2TIn8 and related tetragonal compounds
Čermák, Petr ; Javorský, Pavel (advisor) ; Isnard, Olivier (referee) ; Honda, Fuminori (referee)
Title: Magnetic properties of R2TIn8 and related tetragonal compounds Author: Petr Čermák Department / Institute: Department of Condensed Matter Physics Supervisor of the doctoral thesis: doc. Mgr. Pavel Javorský, Dr., Department of Condensed Matter Physics Abstract: Intermetallic compounds R2TIn8 (R = rare earth, T = transition metal), commonly called "218" because of stoichiometry, are structurally related to a class of well- known Ce-based heavy-fermions like CeCoIn5 or CeRhIn5. They are located between fully 3D cubic compound (e.g. CeIn3) and quasi-2D "115" superconductors, which makes them ideal candidates to study structural dimensionality effects on various properties. Recent developments in this field showed that it is possible to grow compounds with T = Pd or Pt with "218" stoichiometry. Therefore further study of "218" compounds is desired since much less is known about them compared to "115" compounds. We have focused mainly on the determination of magnetic structures and crystal field effects along the series of Rh based "218" compounds for various rare-earth elements. The single crystals of compounds with R = Nd, Tb, Dy, Ho, Er, Tm, La, Lu, Y were successfully grown. Results of bulk measurements (specific heat, susceptibility) together with magnetic structures determined from several neutron...
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Application of group theory in solving puzzles
Pavlík, Tomáš ; Opršal, Jakub (advisor) ; Tůma, Jiří (referee)
This thesis studies the theory of combinatorical puzzles and its connection to the group theory. The aim of this work is to introduce the concept of puzzle to mathematics and to use group theory to solve it, special attention will be focused on solvable groups. Everything is interspersed with a number of practical examples to better understand the topic.
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