Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (1)
- Authors
- Egorychev, Georgy P.; Kolesnikov, Sergey G.; Leontiev, Vladimir M.
- Contact information
- Egorychev, Georgy P.; Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia; ; Kolesnikov, Sergey G.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia; ; Leontiev, Vladimir M.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia;
- Keywords
- integral representation; method of coefficients; P. Hall’s collection formula
- Abstract
In this paper we prove a series of combinatorial identities arising from computing the exponents of the commutators in P. Hall’s collection formula. We also compute a sum in closed form that arises from using the collection formula in Chevalley groups for solving B. A. F. Wehrfritz problem on the regularity of their Sylow subgroups
- Pages
- 12–20
- DOI
- 10.17516/1997-1397-2021-14-1-12-20
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/137819
Journal of Siberian Federal University. Mathematics & Physics / Integral Representation and the Computation of Multiple Combinatorial Sums from Hall’s Commutator Theory
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