@article{92bb6d0e23c64982bc2488f0bdc3aa62, title = "Symmetric subgroups in modular group algebras", abstract = "Let V(KG) be a normalised unit group of the modular group algebra of a finite p-group G over the field K of p elements. We introduce a notion of symmetric subgroups in V(KG) as subgroups invariant under the action of the classical involution of the group algebra KG. We study properties of symmetric subgroups and construct a counterexample to the conjecture by V.Bovdi, which states that V(KG)=, where S* is a set of symmetric units of V(KG).", keywords = "math.RA, math.GR, 16S34, 20C05, Rings and Algebras, Group Theory", author = "Alexander Konovalov and Krivokhata, {A. G.}", note = "This preprint is translated from the original journal publication in Russian: A. Konovalov and A. Tsapok, Symmetric subgroups of the normalised unit group of the modular group algebra of a finite p-group, Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004), 20–24.", year = "2008", month = jan, day = "5", language = "English", volume = "9", journal = "Nauk. Visn. Uzhgorod. Univ., Ser. Mat.,", }