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We prove the conjugacy of Sylow 2-subgroups in pseudofinite Mc (in particular linear) groups under the assumption that there is at least one finite Sylow 2-subgroup. We observe the importance… Click to show full abstract
We prove the conjugacy of Sylow 2-subgroups in pseudofinite Mc (in particular linear) groups under the assumption that there is at least one finite Sylow 2-subgroup. We observe the importance of the pseudofiniteness assumption by analyzing an example of a linear group with nonconjugate finite Sylow 2-subgroups, which was constructed by Platonov.
Keywords:
sylow subgroups;
finite sylow;
problem finite;
conjugacy problem;
note conjugacy
Journal Title: Turkish Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Turkish Journal of Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!