Engel Congruences in Groups of Prime-Power Exponent
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 579-588
Voir la notice de l'article provenant de la source Cambridge University Press
In this paper a simplified proof of a theorem of Sanov (4) is given. No mention is required of Lie elements or of the Baker-Hausdorff formula, both of which played central roles in Sanov's proof.Let G be a group. Define, for all x, y ∈ G,
Glauberman, George; Krause, Eugene F.; Struik, Ruth Rebekka. Engel Congruences in Groups of Prime-Power Exponent. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 579-588. doi: 10.4153/CJM-1966-056-3
@article{10_4153_CJM_1966_056_3,
author = {Glauberman, George and Krause, Eugene F. and Struik, Ruth Rebekka},
title = {Engel {Congruences} in {Groups} of {Prime-Power} {Exponent}},
journal = {Canadian journal of mathematics},
pages = {579--588},
year = {1966},
volume = {18},
number = {1},
doi = {10.4153/CJM-1966-056-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-056-3/}
}
TY - JOUR AU - Glauberman, George AU - Krause, Eugene F. AU - Struik, Ruth Rebekka TI - Engel Congruences in Groups of Prime-Power Exponent JO - Canadian journal of mathematics PY - 1966 SP - 579 EP - 588 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-056-3/ DO - 10.4153/CJM-1966-056-3 ID - 10_4153_CJM_1966_056_3 ER -
%0 Journal Article %A Glauberman, George %A Krause, Eugene F. %A Struik, Ruth Rebekka %T Engel Congruences in Groups of Prime-Power Exponent %J Canadian journal of mathematics %D 1966 %P 579-588 %V 18 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-056-3/ %R 10.4153/CJM-1966-056-3 %F 10_4153_CJM_1966_056_3
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