Presentations of some 3-transposition groups
作者:
J.I. Hall,
L.H. Soicher,
期刊:
Communications in Algebra
(Taylor Available online 1995)
卷期:
Volume 23,
issue 7
页码: 2517-2559
ISSN:0092-7872
年代: 1995
DOI:10.1080/00927879508825358
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We classify all 3-transposition groups which are generated by at most five of their 3-transpositions. Modulo a center these are 27 specific groups plus various quotients of a particular group of order 2(349). For each of the 27 groups at least one presentation is given. We also give presentations for many groups of importance in the recent classification of 3-transposition groups with trivial center. Our presentations include ones for the three sporadic 3-transposition groups of Fischer, each on a 3-transposition generating set of minimal size.
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