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782
Hyperbolic modules and cyclic subgroups
, 2004
"... Let G be a finite group of odd order, F a finite field of odd characteristic p and B a finite– dimensional symplectic FGmodule. We show that B is FGhyperbolic, i.e., it contains a self–perpendicular FGsubmodule, iff it is FNhyperbolic for every cyclic subgroup N of G. 1 ..."
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Let G be a finite group of odd order, F a finite field of odd characteristic p and B a finite– dimensional symplectic FGmodule. We show that B is FGhyperbolic, i.e., it contains a self–perpendicular FGsubmodule, iff it is FNhyperbolic for every cyclic subgroup N of G. 1
Elements and cyclic subgroups of finite order
 of the Cremona group
"... We give the classification of elements – respectively cyclic subgroups – of finite order of the Cremona group, up to conjugation. Natural parametrisations of conjugacy classes, related to fixed curves of positive genus, are provided. 1 ..."
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Cited by 11 (1 self)
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We give the classification of elements – respectively cyclic subgroups – of finite order of the Cremona group, up to conjugation. Natural parametrisations of conjugacy classes, related to fixed curves of positive genus, are provided. 1
CYCLIC SUBGROUPS OF ORDER 4 IN FINITE 2Groups
, 2007
"... We determine completely the structure of finite 2groups which possess exactly six cyclic subgroups of order 4. This is an exceptional case because in a finite 2group is the number of cyclic subgroups of a given order 2n (n ≥ 2 fixed) divisible by 4 in most cases and this solves a part of a proble ..."
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We determine completely the structure of finite 2groups which possess exactly six cyclic subgroups of order 4. This is an exceptional case because in a finite 2group is the number of cyclic subgroups of a given order 2n (n ≥ 2 fixed) divisible by 4 in most cases and this solves a part of a
VIRTUALLY CYCLIC SUBGROUPS OF THREEDIMENSIONAL CRYSTALLOGRAPHIC GROUPS
"... Abstract. An enumeration of the virtually cyclic subgroups of the threedimensional crystallographic groups (“space groups”) is given. Additionally, we offer explanations of the underlying group theory and develop several exclusion theorems which simplify our calculations. 1. ..."
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Abstract. An enumeration of the virtually cyclic subgroups of the threedimensional crystallographic groups (“space groups”) is given. Additionally, we offer explanations of the underlying group theory and develop several exclusion theorems which simplify our calculations. 1.
Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves
"... Abstract. In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry et al (2005). Examples, where these conditions imply that the Jacobian has a large cycl ..."
of the MALAYSIAN MATHEMATICAL SOCIETY Cyclic Subgroup Separability of Certain HNN Extensions
"... Abstract. In this note, we shall show that certain HNN extensions of cyclic subgroup separable groups and certain HNN extensions of subgroup separable groups are cyclic subgroup separable. We also show that onerelator groups with nontrivial centre are cyclic subgroup separable. ..."
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Abstract. In this note, we shall show that certain HNN extensions of cyclic subgroup separable groups and certain HNN extensions of subgroup separable groups are cyclic subgroup separable. We also show that onerelator groups with nontrivial centre are cyclic subgroup separable.
Derived Subgroups of Products of an Abelian and a Cyclic Subgroup
"... Let G be a nite group and suppose that G = AB, where A and B are abelian subgroups. By a Theorem of N. Ito, the derived subgroup G is known to be abelian. If either of the subgroups A or B is cyclic, then more can be said. In this paper it is shown, for example, that G \A) is isomorphic ..."
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Cited by 4 (1 self)
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Let G be a nite group and suppose that G = AB, where A and B are abelian subgroups. By a Theorem of N. Ito, the derived subgroup G is known to be abelian. If either of the subgroups A or B is cyclic, then more can be said. In this paper it is shown, for example, that G \A) is isomorphic
Results 1  10
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782