Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups

Relative n-isoclinism Classes and Relative n-th Nilpotency Degree of Finite Groups

We correlate the notion of n-isoclinism of 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 cy...

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Veröffentlicht in:Filomat 2013-01, Vol.27 (2), p.365-369
Hauptverfasser: Erfanian, Ahmad, Rezaei, Rashid, Russo, Francesco G.
Format: Artikel
Sprache:eng
Schlagworte:
College mathematics
Commutativity
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Zusammenfassung:We correlate the notion of n-isoclinism of 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).
ISSN:0354-5180
2406-0933