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Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
Residually nilpotent group entropy of automorphisms of groups pseudo-Anosov dilatation
2011/9/15
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...
The structure of infinite 2-groups with a unique 2-element subgroup
infinite 2-groups unique 2-element subgroup
2010/11/26
We prove that each infinite 2-group G with a unique 2-element subgroup is isomorphic either to the quasicyclic 2-group C21 or to the infinite group of generalized quaternions Q21. The
latter group is...
In this work a new proof of the fact that the group structure of the Hecke groups is isomorphic to the free product of two cyclic groups of orders 2 and q is given The method used in the proof require...
ON THE ADDITIVE GROUP STRUCTURE OF NONSTANDARD MODELS OF Z
ADDITIVE GROUP NONSTANDARD MODELS OF Z
2010/3/17
Let \hat{Z} denote the inverse limit of finite cyclic groups and FgZ the group where F is a vector space over Q and + is defined by (a, x)+(b, y)=(a+b, x+y+g(a,b)) for some g: F\times F...