# Semantic search

Algebra group implies power degree group for field size, Algebra group is isomorphic to algebra subgroup of unitriangular matrix group of degree one more than logarithm of order to base of field size, Cyclic group of prime-square order is not an algebra group for odd prime, Lazard Lie ring of adjoint group of a radical ring equals associated Lie ring of the radical ring under suitable nilpotency assumptions, Non-isomorphic nilpotent associative algebras may have isomorphic algebra groups