Isomorphism Challenges In Groups With Restricted Centers And Exploring Narrow Normal Subgroups In Coxeter Groups And Their Automorphisms

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Published: Jun 30, 2023
DOI: https://doi.org/10.53555/jrtdd.v6i10s.2930
Keywords:
Modular isomorphism problem Small group algebra Coxeter groups Narrow normal subgroups Abelian P - groups.

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S. Smily Angela
M. Jaslin Melbha

Abstract

The modular isomorphism problem for groups with a centre of index at most , and the study of narrow normal subgroups within Coxeter groups and their automorphism groups, presents a rich field of investigation ripe with intriguing challenges and potential insights. The major contribution of this paper is addressing the modular isomorphism problem in groups with a centre of index at most while concurrently exploring narrow normal subgroups within Coxeter groups and their automorphisms. This interdisciplinary inquiry delves into the structural complexities and symmetrical intricacies inherent in both areas of group theory, aiming to unveil connections and insights across modular isomorphism and the dynamics of narrow subgroups within Coxeter groups.

Article Details

How to Cite
S. Smily Angela, & M. Jaslin Melbha. (2023). Isomorphism Challenges In Groups With Restricted Centers And Exploring Narrow Normal Subgroups In Coxeter Groups And Their Automorphisms. Journal for ReAttach Therapy and Developmental Diversities, 6(10s), 2156–2159. https://doi.org/10.53555/jrtdd.v6i10s.2930
Issue
Vol. 6 No. 10s (2023)
Section
Articles
Author Biographies

S. Smily Angela

Research Scholar, Department of Mathematics, Women’s Christian College, Nagercoil

M. Jaslin Melbha

Assistant Professor, Department of Mathematics, Women’s Christian College, Nagercoil Affliated to Manonmaniam Sundaranar University, Tirunelveli – 12

References

Brenner, S. and García-Lucas, D., 2024. On the modular isomorphism problem for groups with center of index at most p 3. Archiv der Mathematik, pp.1-12.

Paris, L. and Varghese, O., 2024. Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups. Journal of Group Theory, 27(2), pp.255-274.

Hans J. Zassenhaus (1999) [1958]. The Theory of Groups. Courier Corporation. p. 142. ISBN 978-0-486-16568-4.

H.E. Rose (2009). A Course on Finite Groups. Springer Science & Business Media. p. 88. ISBN 978-1-84882-889-6.

De Gruyter October 19, 2023 Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups Luis Paris and Olga Varghese From the Journal of Group Theory.