We study the finite solvable groups in which the orders of the real elements are either 2-powers or not divisible by 2. Equivalently, we describe the finite solvable groups in which the centralizer of every involution is 2- closed.
On the orders of real elements of solvable groups / Dolfi, Silvio; Gluck, David; Navarro, Gabriel. - In: ISRAEL JOURNAL OF MATHEMATICS. - ISSN 0021-2172. - STAMPA. - 210:(2015), pp. 1-21. [10.1007/s11856-015-1163-y]
On the orders of real elements of solvable groups
DOLFI, SILVIO
;
2015
Abstract
We study the finite solvable groups in which the orders of the real elements are either 2-powers or not divisible by 2. Equivalently, we describe the finite solvable groups in which the centralizer of every involution is 2- closed.
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