Some Y-Groups |
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| Authors: | M.-M. Virotte Ducharme |
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| Affiliation: | (1) U.F.R. de Mathematiques, Université Denis Diderot, Paris VII, 2 place Jussieu, F75251 Paris, Cedex 05, France |
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| Abstract: | We call a Y-group a quotient of a Coxeter group with a Ypqr -diagram in accordance with the ATLAS terminology. Here we prove, without computer aid, that some 3-transposition groups are also Y-groups. For each of these groups, the arms of the Coxeter diagram Ypqr are such that (1 = r  q p 5) or (2 = r q 3, q p 5) holds, the additional relations generally describe the center or the Schur multiplier. |
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| Keywords: | Coxeter group presentation 3-transpositions group Y |
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