Gryshko Y. Symmetric subsets and colorings of groups

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U003204

Thesis Registration Form

0402U003204.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

28-10-2002

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

There is obtained numeric and cardinal characteristics of groups with respect to their symmetries and colorings. In case of finite cyclic group these formulae are reduced to a quite simple form. It is deduced formulae for calculating numbers of symmetric r-colorings and classes of equivalent symmetric r-colorings for arbitrary finite Abelian group.

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