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On the unit groups of partial Burnside rings

Published 16 Jun 2018 in math.GR and math.RT | (1806.06251v1)

Abstract: We describe the generalized Matsuda's theorem, and some results of a Burnside ring extend a partial Burnside ring. In particular, we give isomorphism between partial Burnside rings of different groups. Moreover, we consider the relationship between image of Frobenius-Wielandt homomorphism, a partial Burnside ring, and structure of a group.

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