We exhibit a simple construction, based on elementary linear algebra, for a class of examples of finite -groups of nilpotence class 2 all of whose automorphisms are central.
Classification :
20
Mots-clés : Finite $p$-groups, automorphisms, central automorphisms, endomorphisms
Mots-clés : Finite $p$-groups, automorphisms, central automorphisms, endomorphisms
Affiliations des auteurs :
Caranti, Andrea 1
@article{RSMUP_2016__135__251_0, author = {Caranti, Andrea}, title = {A simple construction for a class of $p$-groups with all of their automorphisms central}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {251--258}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {135}, year = {2016}, doi = {10.4171/RSMUP/135-14}, url = {http://archive.numdam.org/articles/10.4171/RSMUP/135-14/} }
TY - JOUR AU - Caranti, Andrea TI - A simple construction for a class of $p$-groups with all of their automorphisms central JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2016 SP - 251 EP - 258 VL - 135 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://archive.numdam.org/articles/10.4171/RSMUP/135-14/ DO - 10.4171/RSMUP/135-14 ID - RSMUP_2016__135__251_0 ER -
%0 Journal Article %A Caranti, Andrea %T A simple construction for a class of $p$-groups with all of their automorphisms central %J Rendiconti del Seminario Matematico della Università di Padova %D 2016 %P 251-258 %V 135 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://archive.numdam.org/articles/10.4171/RSMUP/135-14/ %R 10.4171/RSMUP/135-14 %F RSMUP_2016__135__251_0
Caranti, Andrea. A simple construction for a class of $p$-groups with all of their automorphisms central. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 251-258. doi : 10.4171/RSMUP/135-14. http://archive.numdam.org/articles/10.4171/RSMUP/135-14/
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