Generic Subgroups of Group Amalgams
نویسندگان
چکیده
منابع مشابه
Generic Subgroups of Group Amalgams
For many groups the structure of finitely generated subgroups is generically simple. That is with asymptotic density equal to one a randomly chosen finitely generated subgroup has a particular well-known and easily analyzed structure. For example a result of D. B. A. Epstein says that a finitely generated subgroup of GL(n,R) is generically a free group. We say that a group G has the generic fre...
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In the 1980’s Stallings [35] showed that every finitely generated subgroup of a free group is canonically represented by a finite minimal immersion of a bouquet of circles. In terms of the theory of automata, this is a minimal finite inverse automaton. This allows for the deep algorithmic theory of finite automata and finite inverse monoids to be used to answer questions about finitely generate...
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ژورنال
عنوان ژورنال: Groups – Complexity – Cryptology
سال: 2009
ISSN: 1867-1144,1869-6104
DOI: 10.1515/gcc.2009.51