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r""" 

Shephard Groups 

""" 

#***************************************************************************** 

# Copyright (C) 2016 Travis Scrimshaw <tscrim at ucdavis.edu> 

# 

# This program is free software: you can redistribute it and/or modify 

# it under the terms of the GNU General Public License as published by 

# the Free Software Foundation, either version 2 of the License, or 

# (at your option) any later version. 

# http://www.gnu.org/licenses/ 

#***************************************************************************** 

 

from sage.categories.category_singleton import Category_singleton 

from sage.categories.generalized_coxeter_groups import GeneralizedCoxeterGroups 

from sage.misc.cachefunc import cached_method 

 

class ShephardGroups(Category_singleton): 

r""" 

The category of Shephard groups. 

 

EXAMPLES:: 

 

sage: from sage.categories.shephard_groups import ShephardGroups 

sage: C = ShephardGroups(); C 

Category of shephard groups 

 

TESTS:: 

 

sage: TestSuite(C).run() 

""" 

@cached_method 

def super_categories(self): 

""" 

EXAMPLES:: 

 

sage: from sage.categories.shephard_groups import ShephardGroups 

sage: ShephardGroups().super_categories() 

[Category of finite generalized coxeter groups] 

""" 

return [GeneralizedCoxeterGroups().Finite()]