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2017 | 15 | 1 | 568-577
Tytu艂 artyku艂u

Some new facts about group 饾挗 generated by the family of convergent permutations

Tre艣膰 / Zawarto艣膰
Warianty tytu艂u
J臋zyki publikacji
EN
Abstrakty
EN
The aim of this paper is to present some new and essential facts about group 饾挗 generated by the family of convergent permutations, i.e. the permutations on 鈩 preserving the convergence of series of real terms. We prove that there exist permutations preserving the sum of series which do not belong to 饾挗. Additionally, we show that there exists a family G (possessing the cardinality equal to continuum) of groups of permutations on 鈩 such that each one of these groups is different than 饾挗 and is composed only from the permutations preserving the sum of series. This result substantially strengthens some old Pleasants鈥 result.
Wydawca
Czasopismo
Rocznik
Tom
15
Numer
1
Strony
568-577
Opis fizyczny
Daty
wydano
2017-05-06
otrzymano
2014-10-27
zaakceptowano
2015-11-09
online
2017-05-06
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2017-0048
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