TY  - JOUR
T1  - ABOUT GROUP OF POINTWISE INNER AUTOMORPHISMS FOR NILPOTENCY CLASS FOUR
AU  - Aydın, Ela
PY  - 2023
DA  - October
Y2  - 2023
DO  - 10.33773/jum.1372208
JF  - Journal of Universal Mathematics
JO  - JUM
PB  - Gökhan ÇUVALCIOĞLU
WT  - DergiPark
SN  - 2618-5660
SP  - 58
EP  - 61
VL  - 6
IS  - 3-Supplement
LA  - en
AB  - Let $L_{m,c}$ stand for the free metabelian nilpotent Lie algebra of class $c$ of rank $m$ over a field $K$ of characteristic zero.Automorphisms of the form $\varphi(x_i)=e^{adu_i}(x_i)$ are called pointwise inner, where $e^{adu_i}$, is the inner automorphisminduced by the element $u_i\in L_{m,c}$ for each $i=1,\ldots,m$. In the present study, we investigate the group structure ofthe group $\text{\rm PInn}(L_{m,4})$ of pointwise inner automorphisms of $L_{m,4}$ for nilpotency class four.
KW  - Lie algebras
KW  - metabelian
KW  - nilpotent
KW  - pointwise inner.
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UR  - https://doi.org/10.33773/jum.1372208
L1  - https://dergipark.org.tr/en/download/article-file/3458448
ER  -