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1. |
Record Nr. |
UNINA9910151927503321 |
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Autore |
Thas Koen |
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Titolo |
A Course on Elation Quadrangles [[electronic resource] /] / Koen Thas |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (129 pages) |
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Collana |
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EMS Series of Lectures in Mathematics (ELM) ; , 2523-5176 |
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Classificazione |
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Soggetti |
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Combinatorics & graph theory |
Combinatorics |
Group theory and generalizations |
Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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The notion of elation generalized quadrangle is a natural generalization to the theory of generalized quadrangles of the important notion of translation planes in the theory of projective planes. Almost any known class of finite generalized quadrangles can be constructed from a suitable class of elation quadrangles. In this book the author considers several aspects of the theory of elation generalized quadrangles. Special attention is given to local Moufang conditions on the foundational level, exploring for instance a question of Knarr from the 1990s concerning the very notion of elation quadrangles. All the known results on Kantor's prime power conjecture for finite elation quadrangles are gathered, some of them published here for the first time. The structural theory of elation quadrangles and their groups is heavily emphasized. Other related topics, such as p-modular cohomology, Heisenberg groups and existence problems for certain translation nets, are briefly touched. The text starts from scratch and is essentially self-contained. Many alternative proofs are given for known theorems. Containing dozens of exercises at various levels, from very easy to rather difficult, this course will stimulate undergraduate and graduate students to enter the fascinating and rich |
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world of elation quadrangles. The more accomplished mathematician will especially find the final chapters challenging. |
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2. |
Record Nr. |
UNINA9910436249603321 |
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Titolo |
Die Akten des Kaiserlichen Reichshofrats (RHR) - Serie I: Alte Prager Akten Band 2: E-J / Wolfgang Sellert |
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Pubbl/distr/stampa |
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2019 |
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[s.l.] : , : Erich Schmidt Verlag, , 2019 |
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Descrizione fisica |
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1 electronic resource (803 p.) |
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Collana |
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Die Akten des Kaiserlichen Reichshofrats (RHR) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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The Aulic Council is one of the most outstanding European supreme courts of its time and one of the most important institutions of the Holy Roman Empire of the German Nation in the early modern period (16th-18th century). In close proximity to the emperor, it dealt with legal disputes and fiefdom, privilege matters and the requests of individuals for help, protection and mediation. The systematic and detailed listing of the records of the Aulic Council preserved in the Austrian State Archives in Vienna provides a comprehensive insight into the tasks of maintaining legal peace with which the Aulic Council had to deal. The records cover not only politically highly explosive conflicts over rule, denomination and territories between the powerful of the Empire; they also make visible everyday disputes over debts, inheritances and provisioning, which were brought before the emperor by nobles and commoners, clergy and laymen, women and men from the entire Empire. The record thus becomes a productive aid both for legal and constitutional history and for the entire intellectual and cultural history of the Old Empire and Europe. |
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