Vol. 91, No. 2, 1980

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Groups of square-free order are scarce

Michael Ellsworth Mays

Vol. 91 (1980), No. 2, 373–375
Abstract

We devise an upper bound for B(n), the number of nonisomorphic groups whose orders are square-free and no larger than n, and a lower bound for T(n), the number of nonisomorphic groups whose orders are no larger than n. It is then noted that B(n) = o(T(n)).

Mathematical Subject Classification 2000
Primary: 20D60
Milestones
Received: 27 February 1978
Revised: 27 August 1979
Published: 1 December 1980
Authors
Michael Ellsworth Mays