On the Number of Squares in a Group

Ludomir Newelski

Type: Article

Publication Date: 1987-02-01

Citations: 0

DOI: https://doi.org/10.2307/2046613

Abstract

We show that there is a connection between the number of squares in a group and the cardinality of the group. For example, if a group has countably many squares and ${x^2} = e$ implies $x = e$, then its cardinality is bounded by ${2^{{\aleph _0}}}$ and this bound can be obtained.

Locations

Proceedings of the American Mathematical Society - View

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+	Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory	1971	Saharon Shelah