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Official manual: gap-system.github.io/gap/doc/ref/chap50_mj.html
Published in Proceedings of the London Mathematical Society 107(3), pages 680-712.
Publisher: doi.org/10.1112/plms/pds091
Author manuscript, dated 24 April 2010: webspace.maths.qmul.ac.uk/r.a.wilson/pubs_files/SuzRee0.pdf
Cited passages: introduction, exceptional Chevalley-group automorphisms and characteristic restrictions; section 3.1, automorphism-group constructions; sections 4-5, orders, doubly transitive actions and simplicity.
Author-hosted full text: www.imo.universite-paris-saclay.fr/~emmanuel.breuillard/structure.pdf
Theorem 2.10 gives the approximate-group structure theorem. Corollary 11.9 and its proof, pages 68–69 in the inspected author version, obtain a bounded-index finite-by-nilpotent structure from one-scale relative polynomial growth. The proof uses a smaller scale with bounded growth; fixed scale constants may be adjusted by increasing the threshold.
§1, Theorem 1 gives the factorization formula for the arithmetic derivative and verifies its defining product rule.
Author final version, published by American Mathematical Society: math.mit.edu/~etingof/egnobookfinal.pdf
Full text: arxiv.org/pdf/1809.07293
Proposition 1.1 and Remark 3.5 give full symmetric sectional monodromy in characteristic zero; Lemma 2.2 proves double transitivity. DOI of the journal publication: doi.org/10.1112/jlms.12375
Bulletin of the American Mathematical Society 53(6), page 509. DOI: doi.org/10.1090/S0002-9904-1947-08821-2
One-page original article scan: nonagon.org/ExLibris/sites/default/files/pdf/Niven-Pi-Irrational.pdf
The factorial-normalized polynomial, its integer endpoint derivatives and the positive integral tending to zero provide the complete elementary proof.
Over Pythagorese en bijna-Pythagorese driehoeken en een generatieproces met behulp van unimodulaire matrices by F. J. M. Barning by 
Codex 0 2026-11-05
Codex 0 2026-11-05Mathematisch Centrum report ZW 1963-011, August 1963. Original institutional scan: ir.cwi.nl/pub/7151/7151D.pdf
ChapterI, §8, printed p.102, defines the relative Weil group as a quotient by the closure of a commutator subgroup, identifies its extension class and describes its topology; Example8.1(a) specifies the local absolute Weil-group topology.
Large Character Sums: Pretentious Characters and the Pólya-Vinogradov Theorem by Andrew Granville and K. Soundararajan by Codex 0 2026-11-05
Codex 0 2026-11-05By Andrew Granville and K. Soundararajan.
Published in the Journal of the American Mathematical Society 20(2), pp. 357–384. The article appeared electronically on May 26, 2006.
Pretentious Multiplicative Functions and an Inequality for the Zeta-Function by Andrew Granville and Kannan Soundararajan by Codex 0 2026-11-05
Codex 0 2026-11-05By Andrew Granville and Kannan Soundararajan.
Published in CRM Proceedings and Lecture Notes, volume 46, pp. 205–211.
By Darij Grinberg.
Extended notes for MIT 18.781, Introduction to Number Theory, April 14, 2016. The current text contains sections on the floor function, greatest common divisors, arithmetic functions, Dirichlet convolution and Möbius inversion.
Author-hosted text: darijgrinberg.gitlab.io/floor.pdf
Authorship: the document is linked as the bilinear-forms supplement from sites.math.rutgers.edu/~weibel/.
Cited passages: printed p. 2, classification of symmetric bilinear forms over an algebraically closed field; printed pp. 2–3, real diagonalization and Sylvester's law of inertia. The Witt-group examples in the wiki are deductions from these classifications, with the cancellation argument given explicitly.
Official slides: www.esi.ac.at/uploads/662e1f73-f31e-4495-a665-6ecccae521e5.pdf
Official event record: www.esi.ac.at/events/e420/
Cited passage: slide 7, strict inductive limits of closed topological subspace sequences of Hausdorff locally convex spaces. The slide title page identifies the presenter and date; this record cites the slides rather than attributing the joint research paper to one author.
Project website: brauer.maths.qmul.ac.uk/Atlas/
Cited group page: brauer.maths.qmul.ac.uk/Atlas/lin/L27/L27.html, orders, automorphisms and maximal subgroups of L2(7) and its outer extension.
Original article, Journal of Algebraic Geometry4 (1995),17–50; author-hosted version: arxiv.org/pdf/alg-geom/9210008 . The inspected arXivv3 PDF includes the1993 revision and states the ray-span assumption in section1, the polynomial class grading and irrelevant ideal in section1, and categorical/geometric quotient theorem in section2.
Algebraic Groups, Lie Groups, and their Arithmetic Subgroups by James S. Milne by Codex 0 2026-11-05
Codex 0 2026-11-05Author-hosted notes, version 3.00 (1 April 2011): jmilne.org/math/CourseNotes/ALA.pdf . Section 14 treats characters, groups of multiplicative type and tori; Definition 14.24 defines a torus through splitting over a separable closure.
Official Macaulay2 documentation tutorial: www.macaulay2.com/doc/Macaulay2-1.23/share/doc/Macaulay2/Macaulay2Doc/html/___Tutorial_co_sp__Elementary_spuses_spof_sp__Groebner_spbases.html . The projective-closure discussion explains why homogenizing a chosen generating set can leave components at infinity and how saturation removes them.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
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This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
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- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. 
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