Descending Endomorphisms of Some Families of Groups

Vinay Madhusudanan; Arjit Seth; G. Sudhakara

doi:10.1007/978-981-99-2310-6_20

Descending Endomorphisms of Some Families of Groups

Vinay Madhusudanan^*, Arjit Seth, G. Sudhakara

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Citation (Scopus)

Abstract

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 language	English
Title of host publication	Indian Statistical Institute Series
Publisher	Springer Science and Business Media B.V.
Pages	409-424
Number of pages	16
DOIs	https://doi.org/10.1007/978-981-99-2310-6_20
Publication status	Published - 2023

Publication series

Name	Indian Statistical Institute Series
Volume	Part 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

Access to Document

10.1007/978-981-99-2310-6_20

Cite this

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