Integral Representation and the Computation of Multiple Combinatorial Sums from Hall’s Commutator Theory

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 re...

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Bibliographic Details
Published in:Journal of Siberian Federal University. Mathematics & Physics 2021-01, Vol.14 (1), p.12-20
Main Authors: Egorychev, Georgy P., Kolesnikov, Sergey G., Leontiev, Vladimir M.
Format: Article
Language:English
Subjects:
Combinatorial analysis
Commutators
Subgroups
Theorems
Online Access:Get full text
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Summary: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
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-2021-14-1-12-20