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A characterization of normal subgroups via n-closed sets
subgroup normal subgroup left coset n-closed set
2011/9/20
Abstract: Let (G, *) be a semigroup, D subset of G, and n >= 2 be an integer. We say that (D, *) is an n-closed subset of G if a_1* ... *a_n in D for every a_1, ..., a_n in D. Hence every closed set i...
We use regular map theory to obtain all normal subgroups of Hecke groups of genus 0 and 1. The existence of a regular map corresponding uniquely to every normal subgroup of Hecke groups H(lq) is a res...
Cycloidal Normal Subgroups of Hecke Groups of Finite Index
Cycloidal Normal Subgroups Finite Index
2010/3/3
Cycloidal normal subgroups, that is, subgroups with only one cusp, of finite index of Hecke groups, which have been introduced by E. Hecke, and can be thought of as some kind of generalisation of the ...
In this study, we consider the normal subgroups of H'(lq), where H(lq) denotes the Hecke groups. After recalling some results from [2], particularly on the group structure and on the relations with th...
In this work we study the suucture of some special normal subgroups of Hecke groups. Particwarly those of genus O and 1 are studied by means of the regwar map theory which has been a growing subject i...