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Title: On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4

Abstract

This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups G with disconnected Gruenberg–Kegel graph having exactly 5 vertices in the case where G/F(G) is an almost simple n-primary group for n ≤ 4.

Authors:
;  [1]
  1. N. N. Krasovskii Institute of Mathematics and Mechanics UB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771354
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 3; Conference: 5. All-Russian symposium on abelian groups, Biysk (Russian Federation), 20-25 Aug 2012; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; COMMUTATORS; GRAPH THEORY; GROUP THEORY

Citation Formats

Kolpakova, V. A., E-mail: leralid@mail.ru, and Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru. On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3746-8.
Kolpakova, V. A., E-mail: leralid@mail.ru, & Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru. On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4. United States. doi:10.1007/S10958-018-3746-8.
Kolpakova, V. A., E-mail: leralid@mail.ru, and Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru. Sun . "On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4". United States. doi:10.1007/S10958-018-3746-8.
@article{osti_22771354,
title = {On Finite Nonsolvable 5-Primary Groups with Disconnected Gruenberg–Kegel Graph Such that |π(G/F(G))| ≤ 4},
author = {Kolpakova, V. A., E-mail: leralid@mail.ru and Kondrat’ev, A. S., E-mail: a.s.kondratiev@imm.uran.ru},
abstractNote = {This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups G with disconnected Gruenberg–Kegel graph having exactly 5 vertices in the case where G/F(G) is an almost simple n-primary group for n ≤ 4.},
doi = {10.1007/S10958-018-3746-8},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}