TY - JOUR
TI - On the intersection of tame subgroups in groups acting on trees
AU - Lentzos, K.
AU - Sykiotis, M.
JO - International Journal of Algebra and Computation
PY - 2018
VL - 28
TODO - 3
SP - 467-481
PB - World Scientific Publishing Co. Pte. Ltd.
SN - 0218-1967
TODO - 10.1142/S0218196718500212
TODO - null
TODO - Let G be a group acting on a tree T with finite edge stabilizers of bounded order. We provide, in some very interesting cases, upper bounds for the complexity of the intersection H a K of two tame subgroups H and K of G in terms of the complexities of H and K. In particular, we obtain bounds for the Kurosh rank Kr(H ∩K) of the intersection in terms of Kurosh ranks Kr(H) and Kr(K), in the case, where H and K act freely on the edges of T. © 2018 World Scientific Publishing Company.
ER -