Subnormality in linear groups |
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| Affiliation: | 1. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Napoli, Italy;2. School of Mathematical Sciences, Queen Mary University of London, London, England, United Kingdom;1. CIEM-FaMAF, CONICET-Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina;2. Guangdong Technion Israel Institute of Technology, 241 Daxue Road, Jinping District, Shantou, Guandong Province, China;1. Università degli Studi di Udine, Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Via delle Scienze 206, 33100 Udine, Italy;2. Università degli Studi di Firenze, Dipartimento di Matematica e Informatica, Viale Morgagni, 67/a, 50134 Firenze, Italy;3. Institut de Mathématiques, Université de Neuchâtel, Emile-Argand 11, CH-2000 Neuchâtel, Switzerland;1. Universidade Tecnológica Federal do Paraná, 85053-525, Guarapuava-PR, Brazil;2. Universidade de São Paulo - ICMC, Caixa Postal 668, 13560-970, São Carlos-SP, Brazil;3. Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil;4. Martin-Luther-Universität Halle-Wittenberg, Institut für Informatik, D-06 099 Halle (Saale), Germany;1. The Ohio State University at Lima, Lima, OH, USA;2. Università di Camerino, Camerino, Italy |
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| Abstract: | This paper investigates subnormality and its generalizations in the universe of linear groups. Among other results, it is proved that in any periodic linear group serial subgroups are ascendant, while descendant subgroups are subnormal. Moreover, the join of subnormal subgroups of linear groups is studied. |
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| Keywords: | Linear group Subnormal subgroup Serial subgroup |
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