A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions
Küçük Resim Yok
Tarih
2013
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGEROPEN
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
For a minimal group (or monoid) presentation P, let us suppose that P satisfies the algebraic property of either being efficient or inefficient. Then one can investigate whether some generating functions can be applied to it and study what kind of new properties can be obtained by considering special generating functions. To establish that, we will use the presentations of infinite group and monoid examples, namely the split extensions Z(n) X Zand Z(2) X Z, respectively. This study will give an opportunity to make a new classification of infinite groups and monoids by using generating functions.
Açıklama
Anahtar Kelimeler
efficiency, p-Cockcroft property, split extension, generating functions, Stirling numbers, array polynomials
Kaynak
BOUNDARY VALUE PROBLEMS
WoS Q Değeri
Q1
