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On the Number of Squares in a Group
Proceedings of the American Mathematical Society
Vol. 99, No. 2 (Feb., 1987), pp. 213-218
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2046613
Page Count: 6
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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 x2 = e implies x = e, then its cardinality is bounded by 2ℵ0 and this bound can be obtained.
Proceedings of the American Mathematical Society © 1987 American Mathematical Society