Geodesic
On the commutation graph of cyclic $TI$-subgroups in unitary groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 119-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this work the commutation graph $\Gamma(A)$ of a cyclic $TI$-subgroup $A$ of order 4 in a finite group $G$ with quasi-simple generalized Fitting subgroup $F^*(G)$ is investigated on subject of the symmetric property. We prove that, if $F^*(G)$ is a unitary group, then the graph $\Gamma(A)$ is either a coclique or an edge-regular but not coedge-regular graph.
Keywords: finite group, cyclic $TI$-subgroup, commutation graph. 
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N. D. Zyulyarkina. On the commutation graph of cyclic $TI$-subgroups in unitary groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 119-124. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a13/

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