3-transpositions in infinite groups
In: Mathematical Proceedings of the Cambridge Philosophical Society, Jg. 96 (1984-11-01), S. 371-377
Online
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Zugriff:
Let G be a group. A subset D will be called a set of 3-transpositions if |x| = 2 for xεD and |xy| = 3 whenever x, yεD do not commute. We will call the set D closed if xDx−1 = D for each xεD. For each xεD, letFor each subset X of D, we denote by [X] the graph with vertex set X where two elements x, yεX are joined by an edge whenever they commute. We denote by (X) the complement graph; thus two elements x, yεX are joined by an edge of (X) whenever they do not commute.
| Titel: |
3-transpositions in infinite groups
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| Autor/in / Beteiligte Person: | Weiss, Richard M. |
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| Zeitschrift: | Mathematical Proceedings of the Cambridge Philosophical Society, Jg. 96 (1984-11-01), S. 371-377 |
| Veröffentlichung: | Cambridge University Press (CUP), 1984 |
| Medientyp: | unknown |
| ISSN: | 1469-8064 (print) ; 0305-0041 (print) |
| DOI: | 10.1017/s0305004100062290 |
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