A criterion for the existence of a solvable π-Hall subgroup in a finite group Full article
| Journal |
Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125 |
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| Output data | Year: 2020, Volume: 48, Number: 3, Pages: 1305-1313 Pages count : 9 DOI: 10.1080/00927872.2019.1684504 | ||||
| Tags | finite group, solvable group, Hall subgroup | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Russian Foundation for Basic Research Russian Foundation for Basic Research |
18-31-20011 |
Abstract:
Let G be a finite group and let π be a set of primes. We prove that G has a solvable π-Hall subgroup if and only if G has a {p, q}-Hall subgroup for every pair p, q ∈ π.
Cite:
Buturlakin A.A.
, Khramova A.P.
A criterion for the existence of a solvable π-Hall subgroup in a finite group
Communications in Algebra. 2020. Т.48. №3. С.1305-1313. DOI: 10.1080/00927872.2019.1684504 WOS Scopus OpenAlex
A criterion for the existence of a solvable π-Hall subgroup in a finite group
Communications in Algebra. 2020. Т.48. №3. С.1305-1313. DOI: 10.1080/00927872.2019.1684504 WOS Scopus OpenAlex
Dates:
| Submitted: | Nov 6, 2018 |
| Accepted: | Sep 26, 2019 |
| Published print: | Nov 13, 2019 |
Identifiers:
| Web of science: | WOS:000496100200001 |
| Scopus: | 2-s2.0-85075019454 |
| OpenAlex: | W2984789068 |