Groups and Classes
Countably recognizable classes of groups with restricted conjugacy classes
... of groups with finite conjugacy classes is to establish conditions under which a periodic residually finite F C -group can be embedded into the direct product of a collection of finite ...all groups ...
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Assembling homology classes in automorphism groups of free groups
... nontrivial classes, some old and some new, but we limit the number of these which can be nontrivial using the representation theory of symmetric ...candidate classes as maps of closed manifolds into the ...
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Camina groups with few conjugacy classes
... Camina groups with few conjugacy classes Leonardo Cangelmi and Arun ...conjugacy classes outside K coincide with the cosets of ...Camina groups according to the number of conjugacy ...
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Groups with soluble minimax conjugate classes of subgroups
... the groups in which each subgroup has finitely many conjugates only as central-by-finite ...of groups, a group G is said to have X-conjugate classes of subgroups if G/core G (N G (H )) ∈ X for each ...
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Simple Groups with 9, 10, and 11 Conjugate Classes
... SIMPLE GROUPS WITH 9, 10, and 11 CONJUGATE CLASSES Thesis by Christopher Allen Landauer In Partial FullfiHment of the Requirements For the Degree of Doctor of Philosophy California Institute of Techno[.] ...
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The conjugacy classes of metabelian groups of order at most 24
... equivalence classes or ...metabelian groups of order less than 24 which are considered in this ...conjugacy classes of non-abelian metabelian groups of order less than 24 is ...
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Conjugacy classes in finite groups, commuting graphs and character degrees
... symmetric groups and the alternating groups and also for their double ...algebraic groups and go on to discuss the finite groups of Lie ...conjugacy classes of two particular types of ...
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Talkabout: Making Distance Matter with Small Groups in Massive Classes
... forms groups of two to nine students from differ- ent parts of the world for a video ...online classes via Coursera and ...These classes included Social Psychology, Organizational Analysis, ...
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On groups with conjugacy classes of distinct sizes
... • Ito has the following results: − In [8] it is shown that any group with only one possible conjugacy class size other than 1 is nilpotent.. − In [9] it is shown that any group with only[r] ...
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SMALL GROUPS & CLASSES BIBLE BUDDIES
... main groups for our Preschool and Elementary aged kiddos! The groups are broken up as listed below and will be referred to as Kindle ...kindle groups is to provide more opportunities for purposeful ...
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On groups with two isomorphism classes of central factors
... Proof. The group Z(G) G is 2-generated by Lemma 2.3 ii). It is also locally graded by [9]. Then it has a proper normal subgroup of finite index. By Theorem 5.1, G is soluble. □ Let T denote the class of groups ...
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Most switching classes with primitive automorphism groups contain graphs with trivial groups
... It might be thought that switching classes with many automorphisms would have the property that all their graphs also have many automor- phisms. However the main theorem of this paper shows a different pic- ture: ...
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Using Peer Response Groups in ESL Writing Classes
... On an anonymous, open-ended questionnaire distributed at the end of one semester, students said that the 2 things they like best about writing class were learning to write different type[r] ...
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Orbit counting in conjugacy classes for free groups acting on trees
... GROUPS ACTING ON TREES GEORGE KENISON AND RICHARD SHARP Abstract. In this paper we study the action of the fundamental group of a finite metric graph on its universal covering tree. We assume the graph is finite, ...
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Some classes of directoid groups
... abelian groups”: varieties of directoid groups which contain, along with any member, all its order-isomorphic copies, and, in imitation of the e − varieties of regular semigroups [9], [13] (and some other ...
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New classes of infinite groups
... such groups give us an example of periodic group without involutions, in which all the conditions of the theorem are valid, except the mentioned condition, but the statement of the theorem for such a group is ...
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Varieties and section closed classes of groups
... C H A P T E R F O U R H Y P O C R I T I C A L A N D S I N C E R E G R O U P S It is equivalent to the definition given in Section 1 to say that a group is hypocritical if whenever it is in a locally finite variety ...
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Statistics in conjugacy classes in free groups
... 2 Free groups and subshifts As above, let be a free group with free generating set A = { a 1 , . . . , a p } , p ≥ 2. Write A −1 = { a 1 −1 , . . . , a −1 p } . A word x 0 · · · x n−1 , with letters x k ∈ A ∪ A −1 ...
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Sign conjugacy classes in symmetric groups
... Sign classes in finite groups A sign class in a finite group G is a conjugacy class on which all irreducible characters of G take one of the values 0, 1 or − ...sign classes are called sign ...dihedral ...
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Asymptotics in conjugacy classes for free groups
... Chapter 1 Introduction 1.1 Counting functions Asymptotic analysis is the study of quantification, approximation and estimation associated with long-term or limiting behaviour. In this thesis we consider asymp- totics ...
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