References
- Schur I. Über die Darstellung der endlichen Gruppen durch gebrochene lineare substitutionen. J. Reine Angew. Math. 1904;127:20–50.
- Isaacs IM. Derived subgroups and centers of capable groups. Proc Amer Math Soc. 2001;129(10):2853–2859.
- Podoski K, Szegedy B. Bounds for the index of the centre in capable groups. Proc Amer Math Soc. 2005;133(12):3441–3445.
- Heineken H, Nikolova D. Class two nilpotent capable groups. Bull Austral Math Soc. 1996;54(2):347–352.
- Moneyhun K. Isoclinisms in Lie algebras. Algebras Groups Geom. 1994;11(1):9–22.
- Saeedi F, Arabyani H, Niroomand P. On dimension of Schur multiplier of nilpotent Lie algebras II. Asian-Eur J Math. 2017;10(4):1750076, 8 pp.
- Heineken H. Nilpotent groups of class two that can appear as central quotient groups. Rend Semin Mat Univ Padova. 1990;84:241–248.
- Niroomand P, Johari F, Parvizi M. On the capability and Schur multiplier of nilpotent Lie algebra of class two. Proc Amer Math Soc. 2016;144(10):4157–4168.
- Niroomand P, Johari F, Parvizi M. Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Linear Multilinear Algebra. 2019;67(3):542–554.
- Salemkar AR, Alamian V, Mohammadzadeh H. Some properties of the Schur multiplier and covers of Lie algebras. Comm Algebra. 2008;36(2):697–707.
- Salemkar AR, Edalatzadeh B, Araskhan M. Some inequalities for the dimension of the c-nilpotent multiplier of Lie algebras. J Algebra. 2009;322(5):1575–1585.
- Ellis G. On the capability of groups. Proc Edinb Math Soc (2). 1998;41(3):487–495.
- Magidin A. On the capability of finite groups of class two and prime exponent. Publ Math Debrecen. 2014;85(3–4):309–337.