ON SOME CRITERIA OF NILPOTENCY
The article is dedicated to some generalizations of minimax soluble groups satisfying common criterion of nilpotency, such that normality of maximal subgroups, nilpotency of the factor-group by the Frattini subgroup, normality of pronormal subgroups, non-existence of proper abnormal subgroups and so...
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| Published in: | Communications in algebra Vol. 30; no. 8; pp. 3755 - 3776 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
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Taylor & Francis Group
28-08-2002
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| Abstract | The article is dedicated to some generalizations of minimax soluble groups satisfying common criterion of nilpotency, such that normality of maximal subgroups, nilpotency of the factor-group by the Frattini subgroup, normality of pronormal subgroups, non-existence of proper abnormal subgroups and so on. |
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| AbstractList | The article is dedicated to some generalizations of minimax soluble groups satisfying common criterion of nilpotency, such that normality of maximal subgroups, nilpotency of the factor-group by the Frattini subgroup, normality of pronormal subgroups, non-existence of proper abnormal subgroups and so on. |
| Author | Otal, J. Kurdachenko, L. A. Subbotin, I. Ya |
| Author_xml | – sequence: 1 givenname: L. A. surname: Kurdachenko fullname: Kurdachenko, L. A. organization: Mathematics Department , Dnepropetrovsk University – sequence: 2 givenname: J. surname: Otal fullname: Otal, J. organization: Departmento de Matematicas , Univesidad de Zaragoza – sequence: 3 givenname: I. Ya surname: Subbotin fullname: Subbotin, I. Ya organization: Mathematics Department , National University |
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| CitedBy_id | crossref_primary_10_1016_j_jalgebra_2005_09_027 crossref_primary_10_1515_JGT_2006_034 crossref_primary_10_1080_00927870902861349 crossref_primary_10_1080_00927870500276551 |
| Cites_doi | 10.1007/BF01669835 10.1017/S1446788700034972 10.1112/plms/s3-18.3.495 10.1007/978-3-662-11747-7 10.1080/00927879708825907 10.1007/BF01402969 10.1007/978-1-4684-0128-8 10.1090/S0002-9947-1952-0046349-0 10.1007/978-3-642-65321-6 |
| ContentType | Journal Article |
| Copyright | Copyright Taylor & Francis Group, LLC 2002 |
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| DOI | 10.1081/AGB-120005818 |
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| EndPage | 3776 |
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| References | CIT5818-9 CIT5818-8 Zaitsev D.I. (CIT5818-16) 1981 CIT5818-5 Passman D.S. (CIT5818-7) 1977 Karpilovsky G. (CIT5818-3) 1992; 1 CIT5818-11 CIT5818-10 Sharped W. (CIT5818-13) 1972 CIT5818-12 CIT5818-4 CIT5818-2 CIT5818-1 Zaitsev D.I. (CIT5818-14) 1979 Passman D.S. (CIT5818-6) 1971 CIT5818-15 |
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| Title | ON SOME CRITERIA OF NILPOTENCY |
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