سیویلیکا را در شبکه های اجتماعی دنبال نمایید.

Group nilpotency from a graph point of view

Publish Year: 1403
Type: Journal paper
Language: English
View: 72

This Paper With 17 Page And PDF Format Ready To Download

Export:

Link to this Paper:

Document National Code:

JR_THEGR-13-4_004

Index date: 24 August 2024

Group nilpotency from a graph point of view abstract

Let \Gamma_G denote a graph associated with a group G. A compelling question about finite groups asks whether or not a finite group H must be nilpotent provided \Gamma_H is isomorphic to \Gamma_G for a finite nilpotent group G. In the present work we analyze the problem for different graphs that one can associate with a finite group, both reporting on existing answers and contributing to new ones.

Group nilpotency from a graph point of view Keywords:

Group nilpotency from a graph point of view authors

Valentina Grazian

Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, Milano, Italy

Andrea Lucchini

Dipartimento di Matematica, Università di Padova, Padova, Italy

Carmine Monetta

Dipartimento di Matematica, Università di Salerno, Salerno, Italy

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
A. Lucchini, Finite groups with the same join graph as ...
A. Lucchini and A. Maróti, On the clique number of ...
A. Lucchini and A. Maróti, Some results and questions related ...
A. Lucchini, A. Maróti, and C. Roney-Dougal, On the generating ...
A. Lucchini and D. Nemmi, On the connectivity of the ...
M. Mirzargar and R. Scapellato, Finite groups with the same ...
A. R. Moghaddamfar, About noncommuting graphs, Siberian Math. J., ۴۷ ...
B. H. Neumann, A problem of Paul Erdős on groups, ...
D. J. S. Robinson, A course in the theory of ...
R. Schmidt, Zentralisatorverbände endlicher gruppen, Rend. Sem. Mat. Univ. Padova, ...
S. Zahirovic, I. Bosnjak and R. Madarasz, A study of ...
A. Lucchini, Finite groups with the same join graph as ...
A. Lucchini and A. Maróti, On the clique number of ...
A. Lucchini and A. Maróti, Some results and questions related ...
A. Lucchini, A. Maróti, and C. Roney-Dougal, On the generating ...
A. Lucchini and D. Nemmi, On the connectivity of the ...
M. Mirzargar and R. Scapellato, Finite groups with the same ...
A. R. Moghaddamfar, About noncommuting graphs, Siberian Math. J., ۴۷ ...
B. H. Neumann, A problem of Paul Erdős on groups, ...
D. J. S. Robinson, A course in the theory of ...
R. Schmidt, Zentralisatorverbände endlicher gruppen, Rend. Sem. Mat. Univ. Padova, ...
S. Zahirovic, I. Bosnjak and R. Madarasz, A study of ...
نمایش کامل مراجع