ON NONABELIAN TENSOR ANALOGUES OF 2-ENGEL CONDITIONS
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 77-86
Voir la notice de l'article provenant de la source Cambridge
Tensor analogues of right 2-Engel elements in groups were introduced by D. P. Biddle and L.-C. Kappe. We investigate the properties of right 2-Engel tensor elements and introduce the concept of $2_{\otimes}$-Engel margin. With the help of these results we describe the structure of $2_{\otimes}$-Engel groups. In particular, we prove a tensor version of Levi's theorem for 2-Engel groups and determine tensor squares of two-generator $2_{\otimes}$-Engel $p$-groups.
MORAVEC, PRIMOŽ. ON NONABELIAN TENSOR ANALOGUES OF 2-ENGEL CONDITIONS. Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 77-86. doi: 10.1017/S0017089504002083
@article{10_1017_S0017089504002083,
author = {MORAVEC, PRIMO\v{Z}},
title = {ON {NONABELIAN} {TENSOR} {ANALOGUES} {OF} {2-ENGEL} {CONDITIONS}},
journal = {Glasgow mathematical journal},
pages = {77--86},
year = {2005},
volume = {47},
number = {1},
doi = {10.1017/S0017089504002083},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504002083/}
}
Cité par Sources :