Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (1)
- Authors
- Kuznetsov, Alexander A.; Safonov, Konstantin V.
- Contact information
- Safonov, Konstantin V.: Institute of Computer Science and Telecommunications Reshetnev Siberian State University of Science and Technology Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660037 Russia;
- Keywords
- periodic group; collection process; Hall’s polynomials; the Cayley graph; multiprocessor computer system
- Abstract
Let B0(2; 5) be the largest two–generator finite Burnside group of exponent five. It has the order 534. We define an automorphism φ which translates generating elements into their inverses. Let CB0(2;5)(φ) be the centralizer of φ in B0(2; 5). It is known that jCB0(2;5)(φ)j = 516. The growth functions of the centralizer are computed for some generating sets in the article. As the result we got diameters and average diameters of corresponding the Cayley graphs of CB0(2;5(φ)
- Pages
- 70–78
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/68752
Journal of Siberian Federal University. Mathematics & Physics / On Applications of the Cayley Graphs of some Finite Groups of Exponent Five
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