Geodesic
Finite 2-Groups with Automorphisms of Order~4
Algebra i logika, Tome 40 (2001) no. 1, pp. 83-96.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that if a locally finite or locally nilpotent 2-group $G$ admits an automorphism $\varphi$ of order 4 with finitely many fixed points $m$ then $G$ possesses a normal subgroup $H$ of $m$-bounded index such that the second derived subgroup of $H$ is contained in its center.
Keywords: locally finite $2$-group, locally nilpotent $2$-group, automorphism of order 4 with finitely many fixed points, normal subgroup, derived subgroup, center. 
@article{AL_2001_40_1_a4,
     author = {N. Yu. Makarenko},
     title = {Finite {2-Groups} with {Automorphisms} of {Order~4}},
     journal = {Algebra i logika},
     pages = {83--96},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_1_a4/}
}
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N. Yu. Makarenko. Finite 2-Groups with Automorphisms of Order~4. Algebra i logika, Tome 40 (2001) no. 1, pp. 83-96. http://geodesic.mathdoc.fr/item/AL_2001_40_1_a4/