Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups
Year
: 2013
Abstract: We correlate the notion of n-isoclinismof finite groups, introduced by J. C. Bioch in 1976,with the
relative n-th nilpotency degree, recently studied in literature. We characterize also all the pairs which are
isoclinic with (C,D8) via the relative commutativity degree d(C,D8), where C is a cyclic maximal subgroup
of D8. A final conjecture is opened for the groups with few nontrivial values of d(C,G).
relative n-th nilpotency degree, recently studied in literature. We characterize also all the pairs which are
isoclinic with (C,D8) via the relative commutativity degree d(C,D8), where C is a cyclic maximal subgroup
of D8. A final conjecture is opened for the groups with few nontrivial values of d(C,G).
Keyword(s): Commutativity degree,relative commutativity degree,n-th nilpotency degree,relativen-isoclinism
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Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups
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| contributor author | احمد عرفانیان مشیری نژاد | en |
| contributor author | Rashid Rezaei | en |
| contributor author | Francesco G. Russo | en |
| contributor author | Ahmad Erfanian | fa |
| date accessioned | 2020-06-06T13:17:19Z | |
| date available | 2020-06-06T13:17:19Z | |
| date issued | 2013 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3349110 | |
| description abstract | We correlate the notion of n-isoclinismof finite groups, introduced by J. C. Bioch in 1976,with the relative n-th nilpotency degree, recently studied in literature. We characterize also all the pairs which are isoclinic with (C,D8) via the relative commutativity degree d(C,D8), where C is a cyclic maximal subgroup of D8. A final conjecture is opened for the groups with few nontrivial values of d(C,G). | en |
| language | English | |
| title | Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Commutativity degree | en |
| subject keywords | relative commutativity degree | en |
| subject keywords | n-th nilpotency degree | en |
| subject keywords | relativen-isoclinism | en |
| journal title | Filomat | fa |
| pages | 367-371 | |
| journal volume | 27 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1040336.html | |
| identifier articleid | 1040336 |