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central height; linear group; stability group

References:

[1] Casolo, C., Puglisi, O.: **Hirsch-Plotkin radical of stability groups**. J. Algebra 370 (2012), 133-151. DOI 10.1016/j.jalgebra.2012.06.028 | MR 2966831

[2] Robinson, D. J. S.: **Finiteness Conditions and Generalized Soluble Groups. Part 1**. Springer Berlin (1972). MR 0332989

[3] Robinson, D. J. S.: **Finiteness Conditions and Generalized Soluble Groups. Part 2**. Springer Berlin (1972). MR 0332990

[4] Traustason, G.: **On the Hirsch-Plotkin radical of stability groups**. J. Algebra 425 (2015), 31-41. DOI 10.1016/j.jalgebra.2014.11.023 | MR 3295976

[5] Wehrfritz, B. A. F.: **Stability groups of series in vector spaces**. J. Algebra 445 (2016), Article ID 15414, 352-364. DOI 10.1016/j.jalgebra.2015.09.006 | MR 3418062