Congruence classes of presentations for the complex reflection groups G(m, 1, n) and G(m, m, n)
نویسندگان
چکیده
منابع مشابه
CONGRUENCE CLASSES OF PRESENTATIONS FOR THE COMPLEX REFLECTION GROUPS G(m, 1, n) AND G(m,m, n)
In the present paper, we give a graph-theoretic description for representatives of all the congruence classes of presentations (or r.c.p. for brevity) for the imprimitive complex reflection groups G(m, 1, n) and G(m, m, n). We have three main results. The first main result is to establish a bijection between the set of all the congruence classes of presentations for the group G(m, 1, n) and the...
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We give an explicit description in terms of rooted graphs for representatives of all the congruence classes of presentations (or r.c.p. for brevity) for the imprimitive complex reflection group G(m, p, n). Also, we show that (S, PS) forms a presentation of G(m, p, n), where S is any generating reflection set of G(m, p, n) of minimally possible cardinality and PS is the set of all the basic rela...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2005
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(05)80028-x