ALGEBRAS OF p-GROUPS OF CLASS 2 OVER THE RATIONALS

作者：Goncalves A^*; Pereira A L M

来源：Communications in Algebra, 2011, 39(3): 1052-1068.

DOI：10.1080/00927871003640483

• Frattini Central p-groups
• Group algebras
• Isomorphism of group algebras
• Representation Theory

In this work we analyze p-groups of class 2 G and H, with same rational group algebras. We prove that if QG = QH, then their commutators are equal and the centers, L(G) and L(H), have their orders preserved. We apply our results to Frattini Central p-groups, and we present an example of two groups of order p(7), with no isomorphic centers and different central cyclic components intersecting the cyclic components of the respective commutators

• 出版日期2011