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Complete Rewriting System and Growth Series for Extended Generalized Hecke Groups
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نویسنده
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cetinalp esra kırmızı ,karpuz eylem guzel ,sahin recep ,ates fırat
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منبع
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journal of mathematical extension - 2019 - دوره : 13 - شماره : 4 - صفحه:41 -55
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چکیده
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In this paper we obtain a complete rewriting system for monoid presentation of generalized extended hecke group $overline{h}_{p,q}$, which is firstly defined in cite {dkr1}. it gives an algorithm for getting normal form of elements and hence solving the word problem in this group. byusing the normal form structure of elements of $overline{h}_{p,q}$, we also calculate growth series.
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کلیدواژه
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Hecke groups ,rewriting systems ,normal form ,growth series
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آدرس
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karamanoglu mehmetbey university, kamil ozdag science faculty, department of mathematics, Turkey, karamanoglu mehmetbey university, kamil ozdag science faculty, department of mathematics, Turkey, balıkesir university, art and science faculty, department of mathematics, Turkey, balıkesir university, art and science faculty, department of mathematics, Turkey
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پست الکترونیکی
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firat@balikesir.edu.tr
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Authors
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