On orders Solely of Abelian Groups II | Zendy

Narlikar M. J. | Zendy; Srinivasan S. | Zendy

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On orders Solely of Abelian Groups II

Author(s) -

Narlikar M. J.,

Srinivasan S.

Publication year - 1988

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/20.3.211

Subject(s) - mathematics , abelian group , order (exchange) , combinatorics , cyclic group , group (periodic table) , constant (computer programming) , euler's formula , elementary abelian group , discrete mathematics , mathematical analysis , physics , finance , quantum mechanics , computer science , economics , programming language

Let C ′( x ) denote the number of integers n ⩽ x such that there is no non‐abelian group of order n , but there exists a non‐cyclic group of order n . Here it is shown thatC ′ ( x ) ∼ e − γx log log x( log log log x ) 2,x → ∞ ,where γ denotes Euler's constant.

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