Descending Endomorphisms of Some Families of Groups

Vinay Madhusudanan, Arjit Seth, G. Sudhakara

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)


A descending endomorphism of a group is an endomorphism that induces a corresponding endomorphism in every homomorphic image of the group. Descending endomorphisms of Abelian groups are power maps, and, in particular, those of finite Abelian groups as well as non-torsion Abelian groups are universal power endomorphisms. In this article, we compute all descending endomorphisms of some families of non-Abelian groups, namely (i) symmetric groups, (ii) direct products of symmetric groups, (iii) dihedral groups, (iv) direct products of dihedral groups, (v) Hamiltonian groups and (vi) dicyclic groups.

Original languageEnglish
Title of host publicationIndian Statistical Institute Series
PublisherSpringer Science and Business Media B.V.
Number of pages16
Publication statusPublished - 2023

Publication series

NameIndian Statistical Institute Series
VolumePart F1229
ISSN (Print)2523-3114
ISSN (Electronic)2523-3122

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Statistics and Probability
  • Mathematics (miscellaneous)
  • Computer Science Applications
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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