Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane
نویسندگان
چکیده
We classify the (finite and infinite) virtually cyclic subgroups of the pure braid groups PnpRP2q of the projective plane. The maximal finite subgroups of PnpRP2q are isomorphic to the quaternion group of order 8 if n 3, and to Z4 if n ¥ 4. Further, for all n ¥ 3, up to isomorphism, the following groups are the infinite virtually cyclic subgroups of PnpRP2q: Z, Z2 Z and the amalgamated product Z4 Z2 Z4.
منابع مشابه
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