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G. Bergman

52 papers hereh-index 284.9k citations179 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author47
  • first author5

Across the 52 of 52 papers where every author was matched, so the position is known.

fields
  • math.RA23
  • math.GR13
  • math.CO5
  • math.AC3
  • math.CT3
  • math.MG2
same name
  • G. Bergman — 2 papers, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20032026
most citedGenerating infinite symmetric groups

52 citations · 217 across the 45 of their papers we have counts for

collaborators
Showing 2020Show all

4 papers · 1 filter

math.CO2020

A type of algebraic structure related to sets of intervals

George M. Bergman

F. Wehrung has asked: Given a family C of subsets of a set Ω, under what conditions will there exist a total ordering on Ω under which every member of C…

math.RA2020

Some embedding results for associative algebras

George M. Bergman

Suppose we wish to embed an (associative) k-algebra A in a k-algebra R generated in some specified way; e.g., by two elements, or by copies of given k-algebras A1​, $A_…

math.GR2020★ 4 cited

On core quandles of groups

George M. Bergman

We review the definition of a quandle, and in particular of the core quandle Core(G) of a group G, which consists of the underlying set of G, with the binary operati…

math.GR2020

A note on factorizations of finite groups

George M. Bergman

In Question 19.35 of the Kourovka Notebook, M. H. Hooshmand asks whether, given a finite group G and a factorization card(G)=n1​…nk​, one can always find subset…

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