Everything about Burnside

🧭 Start here: a 6-step reading path

1. Read the overview: BurnsideA 5-minute orientation
2. Skim a recent paper: Equivariant Burnside groups and representation theoryInfluential work since 2022
3. Pick up a classic book: The drummer boyThe most-reprinted book on the subject
4. Read the landmark paper: On the Burnside problem for periodic groupsCited 164 times
5. Go sideways: PortlandA closely related topic
6. Go sideways: ClydeA closely related topic

🏆 Landmark papers (most cited)

• On the Burnside problem for periodic groups

  Narain Gupta, Said Sidki · 1983 · Mathematische Zeitschrift · 164 citations

• Equivariant Stable Homotopy and Segal's Burnside Ring Conjecture

  Gunnar Carlsson · 1984 · The Annals of Mathematics · 120 citations

• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT

  E I Zel'manov · 1991 · Mathematics of the USSR-Izvestiya · 120 citations

• The Burnside algebra of a finite group

  Louis Solomon · 1967 · Journal of Combinatorial Theory · 96 citations

• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS

  SERGEI V. IVANOV · 1994 · International Journal of Algebra and Computation · 96 citations

• Airborne transmission of foot‐and‐mouth disease virus from Burnside Farm, Heddonon‐ the‐Wall, Northumberland, during the 2001 epidemic in the United Kingdom

  J. Gloster, H. J. Champion, J. H. Sørensen · 2003 · Veterinary Record · 63 citations

• On the burnside problem for semigroups

  Antonio Restivo, Christophe Reutenauer · 1984 · Journal of Algebra · 59 citations

• Idempotents of Burnside rings and dress induction theorem

  Tomoyuki Yoshida · 1983 · Journal of Algebra · 57 citations

🆕 Influential since 2022

• Equivariant Burnside groups and representation theory

  Andrew Kresch, Yuri Tschinkel · 2022 · Selecta Mathematica · 12 citations

• Equivariant birational types and Burnside volume

  Andrew Kresch, Yuri Tschinkel · 2022 · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 6 citations

• Product set growth in Burnside groups

  Rémi Coulon, Markus Steenbock · 2022 · Journal de l’École polytechnique — Mathématiques · 4 citations

• The spectrum of the Burnside Tambara functor of a cyclic group

  Maxine Calle, Sam Ginnett · 2023 · Journal of Pure and Applied Algebra · 4 citations

• Counting the number of group orbits by marrying the Burnside process with importance sampling

  Persi Diaconis, Chenyang Zhong · 2026 · Advances in Applied Mathematics · 4 citations

📚 Books worth reading

• The drummer boyJohn Townsend Trowbridge · 1863
• Around BurnsideA.I. Kostrikin, James Wiegold · 2011
• The Burnside Problem and Identities in GroupsSergej I. Adian, John Lennox · 2011
• Burnside groupsJ. L. Mennicke · 1980
• Multiplicative homology operations and transferNorihiko Minami · 1991
• The restricted Burnside problemMichael Vaughan-Lee · 1990
• 📕The battle of Roanoke IslandMichael P. Zatarga · 2015
• A country boy's first three months in the armyC. H. Barney · 1880

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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