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Record W630241444 · doi:10.1007/978-3-7643-9911-5

Combinatorial and geometric group theory : Dortmund and Ottawa-Montreal Conferences

2010· book· en· W630241444 on OpenAlexaboutno aff
Oleg Bogopolski

Bibliographic record

VenueCERN Document Server (European Organization for Nuclear Research) · 2010
Typebook
Languageen
FieldMathematics
TopicGeometric and Algebraic Topology
Canadian institutionsnot available
Fundersnot available
KeywordsMathematicsFree productFree groupAutomorphismGroup (periodic table)Conjugacy classCombinatoricsMonoidMorphismPure mathematics

Abstract

fetched live from OpenAlex

Preface.- Subgroups of small index in the automorphism groups of free groups and Kazhdan's (T) property.- Dynamics of free group automorphisms.- Geodesic rewriting systems and pregroups.- Reglar sets and counting in free groups.- Twisted conjugacy for virtually cyclic groups and crystallographic groups.- Solving random equations in Garside groups using length functions.- An application of word combinatorics to decision problems in group theory.- Equations and fully residually-free groups.- The F_n-action on the product of the two limit trees for an iwip automorphism.- Mather invariants in groups of piecewise-linear homeomorphisms.- Algebraic geometry over the additive monoid of natural numbers. Systems of coefficient-free equations.- Some graphs related to Thomson's group F.- Generating tuples of virtually free groups.- Limits of (Thompson's) group F.-

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.134
Threshold uncertainty score0.448

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.001
Bibliometrics0.0030.009
Science and technology studies0.0010.003
Scholarly communication0.0040.004
Open science0.0010.002
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.1340.034

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.027
GPT teacher head0.272
Teacher spread0.245 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations2
Published2010
Admission routes1
Has abstractyes

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