Finite groups with prime graphs of diameter 5

Ilya B. Gorshkov; Andrey V. Kukharev

Communications in Mathematics (2020)

  • Volume: 28, Issue: 3, page 307-312
  • ISSN: 1804-1388

Abstract

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In this paper we consider a prime graph of finite groups. In particular, we expect finite groups with prime graphs of maximal diameter.

How to cite

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Gorshkov, Ilya B., and Kukharev, Andrey V.. "Finite groups with prime graphs of diameter $5$." Communications in Mathematics 28.3 (2020): 307-312. <http://eudml.org/doc/297267>.

@article{Gorshkov2020,
abstract = {In this paper we consider a prime graph of finite groups. In particular, we expect finite groups with prime graphs of maximal diameter.},
author = {Gorshkov, Ilya B., Kukharev, Andrey V.},
journal = {Communications in Mathematics},
keywords = {finite group; prime graph},
language = {eng},
number = {3},
pages = {307-312},
publisher = {University of Ostrava},
title = {Finite groups with prime graphs of diameter $5$},
url = {http://eudml.org/doc/297267},
volume = {28},
year = {2020},
}

TY - JOUR
AU - Gorshkov, Ilya B.
AU - Kukharev, Andrey V.
TI - Finite groups with prime graphs of diameter $5$
JO - Communications in Mathematics
PY - 2020
PB - University of Ostrava
VL - 28
IS - 3
SP - 307
EP - 312
AB - In this paper we consider a prime graph of finite groups. In particular, we expect finite groups with prime graphs of maximal diameter.
LA - eng
KW - finite group; prime graph
UR - http://eudml.org/doc/297267
ER -

References

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  2. Kondrat'ev, A.S., Prime graph components of finite simple groups, Matematicheskii Sbornik, 180, 6, 1989, 787-797, Russian Academy of Sciences, English transl. Math. USSR-Sb. 67 (1990), 235--247.. (1989) Zbl0691.20013MR1015040
  3. Lucido, M.S., The diameter of the prime graph of a finite group, Journal of Group Theory, 2, 2, 1999, 157-172, De Gruyter, (1999) MR1681526
  4. Vasil'ev, A.V., 10.1007/s11202-005-0042-x, Siberian Mathematical Journal, 46, 3, 2005, 396-404, Springer, (2005) DOI10.1007/s11202-005-0042-x
  5. Vasil'ev, A.V., 10.1016/j.jalgebra.2014.10.013, Journal of Algebra, 423, 2015, 318-374, Elsevier, (2015) MR3283720DOI10.1016/j.jalgebra.2014.10.013
  6. Williams, J.S., 10.1016/0021-8693(81)90218-0, Journal of Algebra, 69, 2, 1981, 487-513, (1981) MR0617092DOI10.1016/0021-8693(81)90218-0
  7. Yang, N., Grechkoseeva, M.A., Vasil'ev, A.V., On the nilpotency of the solvable radical of a finite group isospectral to a simple group, Journal of Group Theory, 23, 3, 2020, 447-470, De Gruyter, (2020) MR4092939

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