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C-group

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In mathematical group theory, a C-group is a group such that the centralizer of any involution has a normal Sylow 2-subgroup.

The simple C-groups were determined by Suzuki, and his classification is summarized by Gorenstein (1980, 16.4). The classification of C-groups was used in Thompson's classification of N-groups.

References

  • Gorenstein, D. (1980), Finite Groups, New York: Chelsea, ISBN 978-0-8284-0301-6, MR81b:20002