On Lockett Pairs and Lockett Conjecture for $\pi$-Soluble Fitting Classes
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3
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In this paper, we construct a new and wide family of Lockett pairs in the class of all finite $\pi$-soluble groups and give a new characteristic of the validity of Lockett conjecture. As application, some known results are followed.
Classification :
20D10
@article{BMMS_2013_36_3_a23,
author = {Lujin Zhu and Nanying Yang and N. T. Vorob'ev},
title = {On {Lockett} {Pairs} and {Lockett} {Conjecture} for $\pi${-Soluble} {Fitting} {Classes}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a23/}
}
TY - JOUR AU - Lujin Zhu AU - Nanying Yang AU - N. T. Vorob'ev TI - On Lockett Pairs and Lockett Conjecture for $\pi$-Soluble Fitting Classes JO - Bulletin of the Malaysian Mathematical Society PY - 2013 VL - 36 IS - 3 UR - http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a23/ ID - BMMS_2013_36_3_a23 ER -
Lujin Zhu; Nanying Yang; N. T. Vorob'ev. On Lockett Pairs and Lockett Conjecture for $\pi$-Soluble Fitting Classes. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a23/