Group of symplectic type

id: group-of-symplectic-type-261-9052782
title: Group of symplectic type
text: In mathematical finite group theory, a p-group of symplectic type is a p-group such that all characteristic abelian subgroups are cyclic. According to Thompson (1968, p.386), the p-groups of symplectic type were classified by P. Hall in unpublished lecture notes, who showed that they are all a central product of an extraspecial group with a group that is cyclic, dihedral, quasidihedral, or quaternion. Gorenstein (1980, 5.4.9) gives a proof of this result. The width n of a group G of symplectic t
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original url: https://en.wikipedia.org/wiki/Group_of_symplectic_type
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date modified: 2021-04-28T19:37:07Z
main entity: {"identifier":"Q5611261","url":"https://www.wikidata.org/entity/Q5611261"}
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