کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6414321 | 1630462 | 2016 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Homology and closure properties of autostackable groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
Autostackability for finitely presented groups is a topological property of the Cayley graph combined with formal language theoretic restrictions, that implies solvability of the word problem. The class of autostackable groups is known to include all asynchronously automatic groups with respect to a prefix-closed normal form set, and all groups admitting finite complete rewriting systems. Although groups in the latter two classes all satisfy the homological finiteness condition FPâ, we show that the class of autostackable groups includes a group that is not of type FP3. We also show that the class of autostackable groups is closed under graph products and extensions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 452, 15 April 2016, Pages 596-617
Journal: Journal of Algebra - Volume 452, 15 April 2016, Pages 596-617
نویسندگان
Mark Brittenham, Susan Hermiller, Ashley Johnson,