Kuznetsov Alexander Alexeevich

Publications in Math-Net.Ru

1. Computation of the center of the Burnside group $B_0(2,5)$
   
   Prikl. Diskr. Mat. Suppl., 2025, no. 18,  270–273
2. On the implementation of the Russian symmetric encryption algorithm “Kuznechik” for resource-efficient platforms
   
   Prikl. Diskr. Mat. Suppl., 2025, no. 18,  247–250
3. On the implementation of the Russian checksum algorithm for resource-efficient platforms
   
   Prikl. Diskr. Mat. Suppl., 2025, no. 18,  245–247
4. On one representation of elements of finite $2$-groups in the form of Boolean vectors
   
   Prikl. Diskr. Mat. Suppl., 2023, no. 16,  129–131
5. Some subgroups of the Burnside group $B_0(2,5)$
   
   Prikl. Diskr. Mat. Suppl., 2021, no. 14,  184–186
6. Computation of rewriting systems in finite groups
   
   Prikl. Diskr. Mat. Suppl., 2020, no. 13,  132–134
7. Computational experiments in finite two generator Burnside groups of exponent five
   
   Prikl. Diskr. Mat. Suppl., 2019, no. 12,  216–218
8. On applications of the Cayley graphs of some finite groups of exponent five
   
   J. Sib. Fed. Univ. Math. Phys., 11:1 (2018),  70–78
9. A resource-efficient algorithm for study the growth in finite two-generator groups of exponent $5$
   
   Prikl. Diskr. Mat., 2018, no. 42,  94–103
10. The Cayley graph of a subgroup of the Burnside group $B_0(2,5)$
    
    Prikl. Diskr. Mat. Suppl., 2017, no. 10,  19–21
11. An algorithm for computation of the growth functions in finite two-generated groups of exponent $5$
    
    Prikl. Diskr. Mat., 2016, no. 3(33),  116–125
12. On the growth functions of finite two generator Burnside groups of exponent five
    
    Prikl. Diskr. Mat. Suppl., 2016, no. 9,  132–135
13. Hall's polynomials over Burnside groups of exponent three
    
    Prikl. Diskr. Mat. Suppl., 2015, no. 8,  147–149
14. The Cayley graphs of Burnside groups of exponent $3$
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  248–254
15. Hall's polynomials of finite two-generator groups of exponent seven
    
    J. Sib. Fed. Univ. Math. Phys., 7:2 (2014),  186–190
16. Hall's polynomials for finite two-generator groups of exponent seven
    
    Prikl. Diskr. Mat. Suppl., 2014, no. 7,  162–164
17. Fast multiplication in finite two-generated groups of exponent five
    
    Prikl. Diskr. Mat., 2013, no. 1(19),  110–116
18. A parallel algorithm for computation of growth functions in the finite two-generator groups of period 5
    
    Prikl. Diskr. Mat. Suppl., 2013, no. 6,  119–121
19. About systems of generators of some groups with 3-transpositions
    
    Sib. Èlektron. Mat. Izv., 10 (2013),  285–301
20. Groups saturated by sets of groups
    
    Sib. Èlektron. Mat. Izv., 8 (2011),  230–246
21. On a subgroup of the Burnside group $B_0(2,5)$
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:4 (2011),  176–180
22. On an involutive automorphism of the Burnside group $B_0(2,5)$
    
    Sib. Zh. Ind. Mat., 13:3 (2010),  68–75
23. On the difference of the Burnside groups $B(2;5)$ and $B_0(2;5)$
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  133–138
24. About the centralizer of an automorphism of order 2 of Burnside group $B_0(2,5)$
    
    Vladikavkaz. Mat. Zh., 12:4 (2010),  44–48
25. Comparative analysis of the Burnside groups $B(2,5)$ and $B_0(2,5)$
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:2 (2009),  125–132
26. A General Algorithm of Modeling of Periodic Groups
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:2 (2009),  47–54
27. Recognizability by spectrum of the group $L_2(7)$
    
    Sib. Èlektron. Mat. Izv., 4 (2007),  136–140
28. On the definability of the group $L_2(7)$ by its spectrum
    
    Sib. Èlektron. Mat. Izv., 2 (2005),  250–252