Groups with anti-symmetric mappings

Joseph A Gallian, Matthew D. Mullin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The above theorems are sufficient to demonstrate the existence of antisymmetric mappings for all non-Abelian group of order less than 36, except for the group <a, b\a3 =b8 =e, ab =ba2> of order 24, and this group can be shown to have one. On the basis of our results, and the fact that we have no conditions on a non-Abelian group that would eliminate any from having anti-symmetric mappings, we conjecture that all non-Abelian groups have anti-symmetric mappings.

Original languageEnglish (US)
Pages (from-to)273-280
Number of pages8
JournalArchiv der Mathematik
Volume65
Issue number4
DOIs
StatePublished - Oct 1 1995

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