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group theory

NOUN
  1. the branch of mathematics dealing with groups

How To Use group theory In A Sentence

  • Group theory is one of a number of branches of mathematics that have proven useful to chemists and physicists in their work.
  • Group theory studies not a single structure, but a type of structure, the pattern common to collections of objects with a binary operation, an identity element thereon, and inverses for each element.
  • He established a geometry and topology based on group theory without the concept of a limit.
  • Netto made major steps towards abstract group theory when he combined permutation group results and groups in number theory.
  • All Hirsch's publications were in group theory, in addition to the work on polycyclic groups he published on locally nilpotent groups and automorphism groups of torsion free abelian groups.
  • Largely under the impetus of the odd order theorem, there was an awakening interest in finite group theory.
  • This observation led him into the intricacies of group theory: notions of groups, normal subgroups, quotient groups, running products, and cosets.
  • In 1979 the Canadian-American mathematician Robert Langlands developed an ambitious and revolutionary theory that connected two branches of mathematics called number theory and group theory.
  • The chemistry and biosciences seminar will cover areas like the development of Indian fisheries with special reference to Kerala, genomics and gene therapy as well as group theory as applicable to complexes.
  • Accepting a position at Princeton, he attended a course on knot theory by R Fox and from this his interest was aroused in combinatorial group theory.
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