The Index Problem for Infinite Symmetric Groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 1964Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 15, page 527 (issn: 0002-9939,

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Authors: Gaughan, E. D.;

doi: 10.2307/2034741 , 10.1090/s0002-9939-1964-0167517-7

The Index Problem for Infinite Symmetric Groups

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Abstract

Let M be an infinite set with cardinal X, S(X, Y) = o-: ois a permutation on M such that I spt oj I d has no subgroups of index less than or equal Z. In this paper, the following generalization of these results is proven.

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University of California, Berkeley
United States

Keywords

group theory

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