Titlebook: Symplectic Amalgams; Christopher Parker,Peter Rowley Book 2002 Springer-Verlag London 2002 Group theory.SMM.automorphism.finite geometry.g

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Book 2002ccount is for the most part self-contained and the wealth of detail makes this book an excellent introduction to these recent developments for graduate students, as well as a valuable resource and reference for specialists in the area.

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1439-7382 in various research papers Provides a complete survey of theThe aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. In all there sixteen infinite families of symplectic amalgams together with 62 more exotic examples. Th

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Elementary Properties of Symplectic Amalgams,. will always denote the universal completion of this amalgam (so . = ..*....). We recall that .., .. and .. may be identified as subgroups of . with .. ∩ .. = ... Note that .. and P. sire different subgroups of . and that . = ‹..,..›

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The ,,-Chief Factors in ,,,heorem is that, apart from six specific types of symplectic amalgam, ../.. is very close to being an ..-chief factor. The proof of the theorem revolves around the set .., defined below, of certain subgroups of .. which are normal in ... Early on, in Lemma 6.7, we examine the case when .. has a uniqu

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A First Look at the Amalgams with |,,/,(,,)| = ,,,s bound attains its minimum; that is |../.(..)| = ... The objective is to reduce the examination of this case to the case when ../.. is close to a simple group. On the way to achieving this goal we uncover certain exceptional characteristic 5 amalgams which appear in Table 1.8 as .. and .. as well a