Hung, Nguyen N. and Maróti, Attila and Martínez, Juan (2023) Conjugacy classes of π-elements and nilpotent/abelian Hall π-subgroups. PACIFIC JOURNAL OF MATHEMATICS. ISSN 0030-8730
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Abstract
Let G be a finite group and π be a set of primes. We study finite groups with a large number of conjugacy classes of π-elements. In particular, we obtain precise lower bounds for this number in terms of the π-part of the order of G to ensure the existence of a nilpotent or abelian Hall π-subgroup in G.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2023 08:28 |
| Last Modified: | 03 Apr 2023 08:28 |
| URI: | http://real.mtak.hu/id/eprint/163253 |
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