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Mediterranean Journal of Mathematics· 2026Q1

Groups with Finitely Many Normalizers of Some Large Subgroups

Maria De Falco, Carmela Musella

Short summary

This paper characterizes uncountable groups that possess a finite number of normalizers for their large subnormal subgroups.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Studies the structure of uncountable groups with finitely many normalizers of large subnormal subgroups.
  • Investigates the behavior of the Wielandt subgroup in these groups.
  • Considers groups with finitely many normalizers of large non-subnormal subgroups.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract In this paper, the structure of uncountable groups with finitely many normalizers of large subnormal subgroups is studied and the behaviour of the Wielandt subgroup of such groups is investigated; moreover, groups having only finitely many normalizers of large non-subnormal subgroups are considered.

The authors' abstract, as published at the source. Mediterranean Journal of Mathematics, 2026 · DOI ↗

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics