Global ETD Search
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Showing 1 to 5 of 5 for “"limit groups"”.
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Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups
… conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound …
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Algorithmic and statistical properties of filling elements of a free group, and quantitative residual properties of gamma-limit groups
… ranks, we discuss two types of non-filling subgroups: those contained in loop vertex subgroups and those contained in segment vertex subgroups. We construct a combinatorial algorithm to determine whether or not a given finitely generated subgroup is contained in a segment vertex subgroup. We …
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Some Model Theory of Free Groups
… both pertaining to the model theory of free groups. In the first set of results, we prove that non-abelian free groups of finite rank at least 3 or of countable rank are not A-homogeneous. We then build on the proof of this result to show that two classes of groups, namely finitely generated …
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The Effect of Leisure-Based Screen Time on Physical Activity
… randomly assigned to one of three screen time groups: (1) control group (2) 2-hour-limit group or (3) one-hour-limit group. Family members wore a Walk4Life LS 2505® pedometer to measure steps. Daily screen time logs were filled out each night and leisure-based screen time and steps were …
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Generalizations of quasiconvexity for finitely generated groups
… embedded in G. However, beyond word-hyperbolic groups, the notion of quasiconvexity is not as useful. For a finitely generated group, there are two recent generalizations of the notion of a quasiconvex subgroup of a word-hyperbolic group, a “stable” subgroup and a “Morse” subgroup. Durham and …