Let K be field of characteristic 2 and let G be a finite nonabelian 2-group with the cyclic derived subgroup G′, and there exists a central element z of order 2 in Z(G)\G′. We prove that the unit group of the group algebra KG possesses a section isomorphic to the wreath product of a group of order 2 with the derived subgroup of the group G, giving for such groups a positive answer to the questi...

Mastery of speaking skills in a second language (L2) necessitates not only having the full command linguistic repertoire but also knowledge tactfulness target language. Being tactful communicator requires use strategies such as conversational gambits everyday speech. Gambits are usually multiple units which convey certain messages opening conversation or keeping it flow smoothly. Such semi-fixe...

"The Queen's Gambit," a thought-provoking drama series directed by A. Scott Frank, explores women's empowerment through the lens of protagonist Beth Harmon's personal journey and her struggle to make mark in male-dominated world chess. Employing textual analysis considering broader context social history evolution feminism during time period, this paper delves into inherent contradictions confl...

in this survey, we give an overview over some aspects of the set of tilting objects in an $m-$cluster category, with focus on those properties which are valid for all $m geq 1$. we focus on the following three combinatorial aspects: modeling the set of tilting objects using arcs in certain polygons, the generalized assicahedra of fomin and reading, and colored quiver mutation.