Somep-groups of Frobenius and extra-special type
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Finitep-groupsG are considered having a normal subgroupH ≠ 1 with this property: ifx ∈G/H andz ∈H thenx is conjugate inG toxz. Some theory is developed, and reasonably complicated examples of classes 2 and 3 are constructed.
KeywordsFinite Group Companion Matrix Frobenius Group Monic Polynomial Commutator Identity
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- 6.I. D. Macdonald,Some examples in the theory of groups, Mathematical Essays Dedicated to A. J. Macintyre, Ohio Univ. Press, Athens, Ohio, 1970, pp. 263–269.Google Scholar