System normalizers and Carter subgroups
نویسندگان
چکیده
منابع مشابه
Normalizers of Parabolic Subgroups of Coxeter Groups
We improve a bound of Borcherds on the virtual cohomological dimension of the non-reflection part of the normalizer of a parabolic subgroup of a Coxeter group. Our bound is in terms of the types of the components of the corresponding Coxeter subdiagram rather than the number of nodes. A consequence is an extension of Brink’s result that the non-reflection part of a reflection centralizer is fre...
متن کاملConjugacy of Carter Subgroups in Groups of Finite Morley Rank
The Cherlin-Zil’ber Conjecture states that all simple groups of finite Morley rank are algebraic. We prove that any minimal counterexample to this conjecture has a unique conjugacy class of Carter subgroups, which are defined as being the definable connected nilpotent subgroups of finite index in their normalizers, and which are analogous to Cartan subgroups in algebraic
متن کاملLillian Carter, Rosalynn Carter, and caregiving.
O n March 10, 2011, former First Lady Rosalynn Carter was the guest speaker for the 20th induction ceremony of the Georgia Women of Achievement at Wesleyan College in Macon, Georgia. No one was more appropriate for this role, as one of the three women inducted that day was her own mother-in-law, Lillian Gordy Carter, who passed away in 1983 at the age of 85. Both of my parents were born and rai...
متن کاملNormalizers in Limit Groups
Let Γ be a limit group, S ⊂ Γ a subgroup, and N the normaliser of S. If H1(S,Q) has finite Q-dimension, then S is finitely generated and either N/S is finite or N is abelian. This result has applications to the study of subdirect products of limit groups. Limit groups (or ω-residually free groups) have received a good deal of attention in recent years, primarily due to the groundbreaking work o...
متن کاملJimmy carter.
He was educated in the Plains public schools in Georgia, attended Georgia Southwestern College and the Georgia Institute of Technology, and ultimately received a Bachelor of Science degree from the United States Naval Academy in 1946. He was the first member of his family ever to go to college, and at the Naval Academy ranked 60th in a class of 820. He later did graduate work in nuclear physics...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1964
ISSN: 0021-8693
DOI: 10.1016/0021-8693(64)90015-8