Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: Groups and Graphs, Metrics and Manifolds; Yekaterinburg; Yekaterinburg

Год издания: 2017

Аннотация: A group H is saturated by groups from a set X of groups if any finite subgroup K of H is isomorphic to a GGX a review fl]). Let A = {L2(q), q > 3, q = ±3 (mod 8)} B be the set of finite dihedral groups with Sylow 2-subgroups of order 2, and M = A U B. The following results were obtained. Theorem 1. A periodic group G saturated by groups from the set M is isomorphic to either a group L2(Q) for a suitable locally finite field Q or a locally dihedral group with Sylow 2-subgroups of order 2. Theorem 2. The Shunkov group G saturated by groups from the set M has a periodic part T (G) that is either isomorphic to a group L2 (Q) for a suitable locally finite field Q or a locally dihedral group with Sylow 22

Журнал: Groups and Graphs, Metrics and Manifolds

Номера страниц: 92-92

Издатель: Уральский федеральный университет имени первого Президента России Б.Н. Ельцина

• Shlepkin Aleksei (Siberian Federal University)

• РИНЦ (eLIBRARY.RU)