On finite -groups that are the product of a subgroup of class two and an abelian subgroup of order
Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 1-10.
In this note it is shown that if is a fi nite -group that is the product of an abelian subgroup of order and a subgroup of nilpotency class two, then can have derived length at most three.
Classification :
20
Mots clés : Products of groups, factorised groups, finite $p$-groups
Mots clés : Products of groups, factorised groups, finite $p$-groups
Affiliations des auteurs :
McCann, Brendan 1
@article{RSMUP_2016__136__1_0,
author = {McCann, Brendan},
title = {On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {1--10},
publisher = {European Mathematical Society Publishing House},
address = {Zuerich, Switzerland},
volume = {136},
year = {2016},
doi = {10.4171/RSMUP/136-1},
url = {http://archive.numdam.org/articles/10.4171/RSMUP/136-1/}
}
TY - JOUR AU - McCann, Brendan TI - On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$ JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2016 SP - 1 EP - 10 VL - 136 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://archive.numdam.org/articles/10.4171/RSMUP/136-1/ DO - 10.4171/RSMUP/136-1 ID - RSMUP_2016__136__1_0 ER -
%0 Journal Article %A McCann, Brendan %T On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$ %J Rendiconti del Seminario Matematico della Università di Padova %D 2016 %P 1-10 %V 136 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://archive.numdam.org/articles/10.4171/RSMUP/136-1/ %R 10.4171/RSMUP/136-1 %F RSMUP_2016__136__1_0
McCann, Brendan. On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$. Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 1-10. doi : 10.4171/RSMUP/136-1. http://archive.numdam.org/articles/10.4171/RSMUP/136-1/
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