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Reference.org
p-constrained group
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a p-constrained group is a <a href="/facts/Finite_group/vv2tvogB">finite group</a> resembling the centralizer of an element of <a href="/facts/Prime_number/L20FLkgn">prime</a> order <i>p</i> in a <a href="/facts/Group_of_Lie_type/gmboug78">group of Lie type</a> over a <a href="/facts/Finite_field/UkMGJo3m">finite field</a> of <a href="/facts/Characteristic_(algebra)/D2VzcQaG">characteristic</a> <i>p</i>. They were introduced by Gorenstein and Walter (1964, p.169) in order to extend some of Thompson's results about odd groups to groups with <a href="/facts/Dihedral_group/1PUlRh4M">dihedral</a> Sylow 2-subgroups. </p>