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On finite groups generated by strongly cosubnormal subgroups
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On finite groups generated by strongly cosubnormal subgroups
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| dc.contributor.author | Ballester-Bolinches, Adolfo | |
| dc.contributor.author | Cossey, John | |
| dc.contributor.author | Esteban Romero, Ramón | |
| dc.date.accessioned | 2015-09-04T09:25:11Z | |
| dc.date.available | 2015-09-04T09:25:11Z | |
| dc.date.issued | 2003 | |
| dc.identifier.citation | Ballester Bolinches, Adolfo Cossey, John Esteban Romero, Ramón 2003 On finite groups generated by strongly cosubnormal subgroups Journal of Algebra 259 1 226 234 | |
| dc.identifier.uri | http://hdl.handle.net/10550/46838 | |
| dc.description.abstract | Two subgroups A and B of a group G are cosubnormal if A and B are subnormal in their join $\langle A, B\rangle$ and are strongly cosubnormal if every subgroup of A is cosubnormal with every subgroup of B. We find necessary and sufficient conditions for A and B to be strongly cosubnormal in hA, Bi and, if Z is the hypercentre of $G = \langle A, B\rangle$, we show that A and B are strongly cosubnormal if and only if G/Z is the direct product of AZ/Z and BZ/Z. We also show that projectors and residuals for certain formations can easily be constructed in such a group. Two subgroups A and B of a group G are N-connected if every cyclic subgroup of A is cosubnormal with every cyclic subgroup of B. Though the concepts of strong cosubnormality and N-connectedness are clearly closely related, we give an example to show that they are not equivalent. We note however that if G is the product of the N- connected subgroups A and B, then A and B are strongly cosubnor- mal. | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Algebra, 2003, vol. 259, num. 1, p. 226-234 | |
| dc.subject | Matemàtica | |
| dc.title | On finite groups generated by strongly cosubnormal subgroups | |
| dc.type | journal article | es_ES |
| dc.date.updated | 2015-09-04T09:25:11Z | |
| dc.identifier.doi | 10.1016/S0021-8693(02)00535-5 | |
| dc.identifier.idgrec | 007683 | |
| dc.rights.accessRights | open access | es_ES |
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